Wei, Yu-xiao; Tang, Wen-lin A numerical calculation algorithm of the inclination function based on the representation of \(\mathrm{SO}(3)\) group. (English) Zbl 1528.86003 Acta Math. Appl. Sin., Engl. Ser. 40, No. 1, 137-148 (2024). MSC: 86-08 86A30 PDFBibTeX XMLCite \textit{Y.-x. Wei} and \textit{W.-l. Tang}, Acta Math. Appl. Sin., Engl. Ser. 40, No. 1, 137--148 (2024; Zbl 1528.86003) Full Text: DOI
Zhu, Shengjie; Zhang, Yuanyuan; Zong, Xiaofeng; Li, Renfu Finite-time constrained attitude regulation for spacecraft formation with disturbances on \(SO(3)\). (English) Zbl 07800478 Int. J. Robust Nonlinear Control 33, No. 8, 4459-4489 (2023). MSC: 93D40 93B35 93C73 93B12 70M20 PDFBibTeX XMLCite \textit{S. Zhu} et al., Int. J. Robust Nonlinear Control 33, No. 8, 4459--4489 (2023; Zbl 07800478) Full Text: DOI
Ando, Naoya Correction to: “Isotropicity of surfaces in Lorentzian 4-manifolds with zero mean curvature vector”. (English) Zbl 1528.53015 Abh. Math. Semin. Univ. Hamb. 93, No. 2, 163-166 (2023). MSC: 53B25 53C42 53C50 PDFBibTeX XMLCite \textit{N. Ando}, Abh. Math. Semin. Univ. Hamb. 93, No. 2, 163--166 (2023; Zbl 1528.53015) Full Text: DOI
Aslam, Farooq; Haydar, M. Farooq \(H_\infty\) inverse optimal attitude tracking on the special orthogonal group \(SO(3)\). (English) Zbl 07778973 Int. J. Control 96, No. 12, 3155-3167 (2023). MSC: 93B36 49N45 93C10 PDFBibTeX XMLCite \textit{F. Aslam} and \textit{M. F. Haydar}, Int. J. Control 96, No. 12, 3155--3167 (2023; Zbl 07778973) Full Text: DOI arXiv
Ignesti, Diego; Ferri, Giulio; Auricchio, Ferdinando; Reali, Alessandro; Marino, Enzo An improved isogeometric collocation formulation for spatial multi-patch shear-deformable beams with arbitrary initial curvature. (English) Zbl 07644184 Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115722, 26 p. (2023). MSC: 74-XX 78-XX PDFBibTeX XMLCite \textit{D. Ignesti} et al., Comput. Methods Appl. Mech. Eng. 403, Part A, Article ID 115722, 26 p. (2023; Zbl 07644184) Full Text: DOI
Deveikis, Algirdas; Gusev, Alexander A.; Vinitsky, Sergue I.; Blinkov, Yuri A.; Góźdź, Andrzej; Pȩdrak, Aleksandra; Hess, Peter O. Symbolic-numeric algorithm for calculations in geometric collective model of atomic nuclei. (English) Zbl 1517.81098 Boulier, François (ed.) et al., Computer algebra in scientific computing. 24th international workshop, CASC 2022, Gebze, Turkey, August 22–26, 2022. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 13366, 103-123 (2022). MSC: 81V45 81V35 68W30 35P10 81Q12 PDFBibTeX XMLCite \textit{A. Deveikis} et al., Lect. Notes Comput. Sci. 13366, 103--123 (2022; Zbl 1517.81098) Full Text: DOI
Chemtov, Max; Karigiannis, Spiro Observations about the Lie algebra \(\mathfrak{g}_2 \subset \mathfrak{so} (7)\), associative 3-planes, and \(\mathfrak{so} (4)\) subalgebras. (English) Zbl 1512.17016 Expo. Math. 40, No. 4, 845-869 (2022). MSC: 17B25 17B10 53C15 PDFBibTeX XMLCite \textit{M. Chemtov} and \textit{S. Karigiannis}, Expo. Math. 40, No. 4, 845--869 (2022; Zbl 1512.17016) Full Text: DOI arXiv
Aslam, Farooq; Haydar, M. Farooq Robust attitude tracking on the special orthogonal group \(SO(3)\) using PD-type state feedback and linear matrix inequalities. (English) Zbl 1501.93057 Eur. J. Control 68, Article ID 100689, 8 p. (2022). MSC: 93B52 93B36 93C10 PDFBibTeX XMLCite \textit{F. Aslam} and \textit{M. F. Haydar}, Eur. J. Control 68, Article ID 100689, 8 p. (2022; Zbl 1501.93057) Full Text: DOI
Ye, Yaobang; Zuo, Zongyu; Basin, Michael Robust adaptive sliding mode tracking control for a rigid body based on Lie subgroups of \(\mathrm{SO}(3)\). (English) Zbl 1501.93030 Discrete Contin. Dyn. Syst., Ser. S 15, No. 7, 1823-1837 (2022). MSC: 93B12 93C40 93B35 22E40 PDFBibTeX XMLCite \textit{Y. Ye} et al., Discrete Contin. Dyn. Syst., Ser. S 15, No. 7, 1823--1837 (2022; Zbl 1501.93030) Full Text: DOI
Kling, Jordi; Schueth, Dorothee On the Dirac spectrum of homogeneous 3-spheres. (English) Zbl 1497.58017 J. Geom. Anal. 32, No. 11, Paper No. 275, 22 p. (2022). Reviewer: Mohammed El Aïdi (Bogotá) MSC: 58J50 58J53 53C30 PDFBibTeX XMLCite \textit{J. Kling} and \textit{D. Schueth}, J. Geom. Anal. 32, No. 11, Paper No. 275, 22 p. (2022; Zbl 1497.58017) Full Text: DOI arXiv
Dytrych, Tomáš; Langr, Daniel; Draayer, Jerry P.; Launey, Kristina D.; Gazda, Daniel SU3lib: a C++ library for accurate computation of Wigner and Racah coefficients of SU(3). (English) Zbl 1523.81196 Comput. Phys. Commun. 269, Article ID 108137, 6 p. (2021). MSC: 81V35 68P15 81P73 20G05 22D10 22D15 81-08 PDFBibTeX XMLCite \textit{T. Dytrych} et al., Comput. Phys. Commun. 269, Article ID 108137, 6 p. (2021; Zbl 1523.81196) Full Text: DOI
Ansel, Quentin; Glaser, Steffen J.; Sugny, Dominique Selective and robust time-optimal rotations of spin systems. (English) Zbl 1519.70028 J. Phys. A, Math. Theor. 54, No. 8, Article ID 085204, 22 p. (2021). MSC: 70Q05 49K15 49N90 81Q93 PDFBibTeX XMLCite \textit{Q. Ansel} et al., J. Phys. A, Math. Theor. 54, No. 8, Article ID 085204, 22 p. (2021; Zbl 1519.70028) Full Text: DOI arXiv
Deveikis, Algirdas; Gusev, Alexander; Vinitsky, Sergue; Góźdź, Andrzej; Pȩdrak, Aleksandra; Burdik, Čestmir; Pogosyan, George Symbolic-numeric algorithms for computing orthonormal bases of SU(3) group for orbital angular momentum. (English) Zbl 07497951 Boulier, François (ed.) et al., Computer algebra in scientific computing. 23rd international workshop, CASC 2021, Sochi, Russia, September 13–17, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12865, 100-120 (2021). MSC: 68W30 PDFBibTeX XMLCite \textit{A. Deveikis} et al., Lect. Notes Comput. Sci. 12865, 100--120 (2021; Zbl 07497951) Full Text: DOI
Borisov, A. B. Three-dimensional vortices in the Heisenberg model. (English. Russian original) Zbl 1484.82069 Theor. Math. Phys. 208, No. 3, 1256-1264 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 471-480 (2021). MSC: 82D40 82B23 PDFBibTeX XMLCite \textit{A. B. Borisov}, Theor. Math. Phys. 208, No. 3, 1256--1264 (2021; Zbl 1484.82069); translation from Teor. Mat. Fiz. 208, No. 3, 471--480 (2021) Full Text: DOI
Gordienko, V. M. Invariant operators in some space of vector functions. (English. Russian original) Zbl 1511.22018 Sib. Math. J. 62, No. 6, 1026-1038 (2021); translation from Sib. Mat. Zh. 62, No. 2, 1271-1284 (2021). MSC: 22E46 PDFBibTeX XMLCite \textit{V. M. Gordienko}, Sib. Math. J. 62, No. 6, 1026--1038 (2021; Zbl 1511.22018); translation from Sib. Mat. Zh. 62, No. 2, 1271--1284 (2021) Full Text: DOI
Evans, David E.; Pugh, Mathew Classification of module categories for \(SO (3)_{2m} \). (English) Zbl 07415143 Adv. Math. 384, Article ID 107713, 63 p. (2021). MSC: 81Txx 46Lxx 17Bxx PDFBibTeX XMLCite \textit{D. E. Evans} and \textit{M. Pugh}, Adv. Math. 384, Article ID 107713, 63 p. (2021; Zbl 07415143) Full Text: DOI arXiv
Wang, Weixin; Lee, Taeyoung Higher-order central moments of matrix Fisher distribution on \(\mathrm{SO}(3)\). (English) Zbl 1455.60013 Stat. Probab. Lett. 169, Article ID 108983, 8 p. (2021). MSC: 60B15 PDFBibTeX XMLCite \textit{W. Wang} and \textit{T. Lee}, Stat. Probab. Lett. 169, Article ID 108983, 8 p. (2021; Zbl 1455.60013) Full Text: DOI
Wiesendanger, C. A SO(1,3) gauge theory of quantum gravity: quantization and renormalizability proof. (English) Zbl 1479.83100 Classical Quantum Gravity 37, No. 19, Article ID 195029, 32 p. (2020). MSC: 83C45 70S15 81T70 81T12 81S40 81R10 81T17 PDFBibTeX XMLCite \textit{C. Wiesendanger}, Classical Quantum Gravity 37, No. 19, Article ID 195029, 32 p. (2020; Zbl 1479.83100) Full Text: DOI
Hashim, Hashim A. Systematic convergence of nonlinear stochastic estimators on the special orthogonal group \(\mathrm{SO}(3)\). (English) Zbl 1466.93160 Int. J. Robust Nonlinear Control 30, No. 10, 3848-3870 (2020). MSC: 93E10 93C10 54H15 PDFBibTeX XMLCite \textit{H. A. Hashim}, Int. J. Robust Nonlinear Control 30, No. 10, 3848--3870 (2020; Zbl 1466.93160) Full Text: DOI arXiv
Mecchia, Mattia; Seppi, Andrea On the diffeomorphism type of Seifert fibered spherical 3-orbifolds. (English) Zbl 1462.57031 Rend. Ist. Mat. Univ. Trieste 52, 525-563 (2020). Reviewer: Juan Rojo (Madrid) MSC: 57M60 57M12 57M50 PDFBibTeX XMLCite \textit{M. Mecchia} and \textit{A. Seppi}, Rend. Ist. Mat. Univ. Trieste 52, 525--563 (2020; Zbl 1462.57031) Full Text: DOI arXiv Link
Xu, Jie Classifying local anisotropy formed by rigid molecules: symmetries and tensors. (English) Zbl 1457.76019 SIAM J. Appl. Math. 80, No. 6, 2518-2546 (2020). MSC: 76A02 76A15 82D30 22E70 PDFBibTeX XMLCite \textit{J. Xu}, SIAM J. Appl. Math. 80, No. 6, 2518--2546 (2020; Zbl 1457.76019) Full Text: DOI arXiv
Chavan, Roshan A.; Wang, Shaoqian; Seigler, T. Michael; Hoagg, Jesse B. Consensus on SO(3) with piecewise-continuous sinusoids. (English) Zbl 1451.93348 Automatica 122, Article ID 109262, 12 p. (2020). MSC: 93D50 93A16 93B52 PDFBibTeX XMLCite \textit{R. A. Chavan} et al., Automatica 122, Article ID 109262, 12 p. (2020; Zbl 1451.93348) Full Text: DOI
Sprößig, Wolfgang Some new aspects in hypercomplex analysis. (English) Zbl 1459.76110 Breaz, Daniel (ed.) et al., Advancements in complex analysis. From theory to practice. Cham: Springer. 497-518 (2020). MSC: 76M40 76S05 30G35 15B33 PDFBibTeX XMLCite \textit{W. Sprößig}, in: Advancements in complex analysis. From theory to practice. Cham: Springer. 497--518 (2020; Zbl 1459.76110) Full Text: DOI
Kibkalo, Vladislav Topological classification of Liouville foliations for the Kovalevskaya integrable case on the Lie algebra \(\operatorname{so}(3, 1)\). (English) Zbl 1439.37061 Topology Appl. 275, Article ID 107028, 10 p. (2020). Reviewer: William J. Satzer Jr. (St. Paul) MSC: 37J39 37J35 37J20 70E40 70E45 PDFBibTeX XMLCite \textit{V. Kibkalo}, Topology Appl. 275, Article ID 107028, 10 p. (2020; Zbl 1439.37061) Full Text: DOI arXiv
Tan, Xiao; Berkane, Soulaimane; Dimarogonas, Dimos V. Constrained attitude maneuvers on \(SO(3)\): rotation space sampling, planning and low-level control. (English) Zbl 1430.93151 Automatica 112, Article ID 108659, 9 p. (2020). MSC: 93C85 93B35 PDFBibTeX XMLCite \textit{X. Tan} et al., Automatica 112, Article ID 108659, 9 p. (2020; Zbl 1430.93151) Full Text: DOI
Wang, Yulin; Wang, Xiao; Tang, Shengjing; Guo, Jie Geometric adaptive robust sliding-mode control on SO(3). (English) Zbl 07782314 Gusikhin, Oleg (ed.) et al., ICINCO 2019. Proceedings of the 16th international conference on informatics in control, automation and robotics, Prague, Czech Republic, July 29–31, 2019. In 2 volumes. Setúbal: SCITEPRESS – Science and Technology Publications. 328-338, Vol. 2 (2019). MSC: 93B27 93C40 93B35 93B12 PDFBibTeX XMLCite \textit{Y. Wang} et al., in: ICINCO 2019. Proceedings of the 16th international conference on informatics in control, automation and robotics, Prague, Czech Republic, July 29--31, 2019. In 2 volumes. Setúbal: SCITEPRESS -- Science and Technology Publications. 328--338, Vol. 2 (2019; Zbl 07782314) Full Text: DOI
Ha, Jinting; Zhang, Huiqun; Zhao, Qiulan Exact solutions for a Dirac-type equation with N-fold Darboux transformation. (English) Zbl 1464.35284 J. Appl. Anal. Comput. 9, No. 1, 200-210 (2019). MSC: 35Q51 35Q41 37K40 37K35 17B81 PDFBibTeX XMLCite \textit{J. Ha} et al., J. Appl. Anal. Comput. 9, No. 1, 200--210 (2019; Zbl 1464.35284) Full Text: DOI
Bressloff, Paul C. Stochastic neural field theory of wandering bumps on a sphere. (English) Zbl 1453.35173 Physica D 399, 138-152 (2019). MSC: 35R01 35R60 35B35 60H15 35B06 PDFBibTeX XMLCite \textit{P. C. Bressloff}, Physica D 399, 138--152 (2019; Zbl 1453.35173) Full Text: DOI
Agol, Ian; Krushkal, Vyacheslav Structure of the flow and Yamada polynomials of cubic graphs. (English) Zbl 1453.05051 Gay, David T. (ed.) et al., Breadth in contemporary topology. 2017 Georgia international topology conference, University of Georgia, Athens, Georgia, USA, May 22 – June 2, 2017. Providence, RI: American Mathematical Society (AMS). Proc. Symp. Pure Math. 102, 1-20 (2019). MSC: 05C31 05C10 05C75 05C22 57M15 57R56 PDFBibTeX XMLCite \textit{I. Agol} and \textit{V. Krushkal}, Proc. Symp. Pure Math. 102, 1--20 (2019; Zbl 1453.05051) Full Text: arXiv
Chemin, Alexandre; Henrotte, François; Remacle, Jean-François; van Schaftingen, Jean Representing three-dimensional cross fields using fourth order tensors. (English) Zbl 1448.15031 Roca, Xevi (ed.) et al., Proceedings of the 27th International Meshing Roundtable (IMR), Albuquerque, NM, USA, October 1–5, 2018. Cham: Springer. Lect. Notes Comput. Sci. Eng. 127, 89-108 (2019). MSC: 15A69 20C33 22E45 33C45 PDFBibTeX XMLCite \textit{A. Chemin} et al., Lect. Notes Comput. Sci. Eng. 127, 89--108 (2019; Zbl 1448.15031) Full Text: DOI arXiv
Chen, Ti; Shan, Jinjun Distributed adaptive fault-tolerant attitude tracking of multiple flexible spacecraft on \(\mathrm{SO}(3)\). (English) Zbl 1432.70047 Nonlinear Dyn. 95, No. 3, 1827-1839 (2019). MSC: 70Q05 93C85 93D40 PDFBibTeX XMLCite \textit{T. Chen} and \textit{J. Shan}, Nonlinear Dyn. 95, No. 3, 1827--1839 (2019; Zbl 1432.70047) Full Text: DOI
Atakishiyev, Natig M.; Pogosyan, George S.; Wolf, Kurt Bernardo; Yakhno, Alexander Spherical geometry, Zernike’s separability, and interbasis expansion coefficients. (English) Zbl 1441.33007 J. Math. Phys. 60, No. 10, 101701, 12 p. (2019). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 33C45 35C10 14M27 78A40 78A45 81R12 PDFBibTeX XMLCite \textit{N. M. Atakishiyev} et al., J. Math. Phys. 60, No. 10, 101701, 12 p. (2019; Zbl 1441.33007) Full Text: DOI
Dong, Lei; Li, Hongbo; Huang, Lei; Shao, Changpeng Closed form of inverse Plücker correspondence in line geometry. (English) Zbl 1430.51030 Sci. China, Math. 62, No. 12, 2617-2630 (2019). MSC: 51M30 15B10 15A29 PDFBibTeX XMLCite \textit{L. Dong} et al., Sci. China, Math. 62, No. 12, 2617--2630 (2019; Zbl 1430.51030) Full Text: DOI
Feehan, Paul M. N.; Leness, Thomas G. Superconformal simple type and Witten’s conjecture. (English) Zbl 1430.53026 Adv. Math. 356, Article ID 106821, 35 p. (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 53C07 57R57 58J05 58J20 58J52 PDFBibTeX XMLCite \textit{P. M. N. Feehan} and \textit{T. G. Leness}, Adv. Math. 356, Article ID 106821, 35 p. (2019; Zbl 1430.53026) Full Text: DOI arXiv
Feehan, Paul M. N.; Leness, Thomas G. The \(\mathrm{SO}(3)\) monopole cobordism and superconformal simple type. (English) Zbl 1430.53025 Adv. Math. 356, Article ID 106817, 38 p. (2019). Reviewer: Giuseppe Gaeta (Milano) MSC: 53C07 57R57 58J05 58J20 58J52 PDFBibTeX XMLCite \textit{P. M. N. Feehan} and \textit{T. G. Leness}, Adv. Math. 356, Article ID 106817, 38 p. (2019; Zbl 1430.53025) Full Text: DOI arXiv
Dunajski, Maciej; Tod, Paul An example of the geometry of a 5th-order ODE: the metric on the space of conics in \(\mathbb{CP}^2\). (English) Zbl 1506.53013 Differ. Geom. Appl. 66, 196-211 (2019). MSC: 53A55 53C28 53C29 34A26 PDFBibTeX XMLCite \textit{M. Dunajski} and \textit{P. Tod}, Differ. Geom. Appl. 66, 196--211 (2019; Zbl 1506.53013) Full Text: DOI arXiv
Liu, Ruikuan; Ma, Tian; Wang, Shouhong; Yang, Jiayan Thermodynamical potentials of classical and quantum systems. (English) Zbl 1414.74002 Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1411-1448 (2019). MSC: 74A15 82B30 80A17 PDFBibTeX XMLCite \textit{R. Liu} et al., Discrete Contin. Dyn. Syst., Ser. B 24, No. 4, 1411--1448 (2019; Zbl 1414.74002) Full Text: DOI
Wang, Shaoqian; Hoagg, Jesse B.; Seigler, T. Michael Orientation control on SO(3) with piecewise sinusoids. (English) Zbl 1411.93095 Automatica 100, 114-122 (2019). MSC: 93C30 93B52 93B05 PDFBibTeX XMLCite \textit{S. Wang} et al., Automatica 100, 114--122 (2019; Zbl 1411.93095) Full Text: DOI
Bülow, Heiko; Birk, Andreas Scale-free registrations in 3D: 7 degrees of freedom with Fourier Mellin SOFT transforms. (English) Zbl 1458.68224 Int. J. Comput. Vis. 126, No. 7, 731-750 (2018). MSC: 68T45 42B10 68U05 94A08 PDFBibTeX XMLCite \textit{H. Bülow} and \textit{A. Birk}, Int. J. Comput. Vis. 126, No. 7, 731--750 (2018; Zbl 1458.68224) Full Text: DOI
Brégier, Romain; Devernay, Frédéric; Leyrit, Laetitia; Crowley, James L. Defining the pose of any 3D rigid object and an associated distance. (English) Zbl 1458.68264 Int. J. Comput. Vis. 126, No. 6, 571-596 (2018). MSC: 68U05 68T45 PDFBibTeX XMLCite \textit{R. Brégier} et al., Int. J. Comput. Vis. 126, No. 6, 571--596 (2018; Zbl 1458.68264) Full Text: DOI arXiv
Buttcane, Jack Higher weight on \(\mathrm{GL}(3)\). II: The cusp forms. (English) Zbl 1425.11115 Algebra Number Theory 12, No. 10, 2237-2294 (2018). Reviewer: Ilker Inam (Bilecik) MSC: 11F72 11F30 PDFBibTeX XMLCite \textit{J. Buttcane}, Algebra Number Theory 12, No. 10, 2237--2294 (2018; Zbl 1425.11115) Full Text: DOI arXiv
Yu, Jing; Yuan, Wenbo; Han, Jingwei General non-isospectral integrable coupling of AKNS equations associated with \(so(3,\mathbb R)\). (English) Zbl 1403.35262 Math. Methods Appl. Sci. 41, No. 12, 4480-4490 (2018). MSC: 35Q51 37K40 37K10 17B80 PDFBibTeX XMLCite \textit{J. Yu} et al., Math. Methods Appl. Sci. 41, No. 12, 4480--4490 (2018; Zbl 1403.35262) Full Text: DOI
Shen, Jie; Xu, Jie; Zhang, Pingwen Approximations on \(\mathrm{SO}(3)\) by Wigner D-matrix and applications. (English) Zbl 1398.65321 J. Sci. Comput. 74, No. 3, 1706-1724 (2018). MSC: 65N35 65M70 41A30 PDFBibTeX XMLCite \textit{J. Shen} et al., J. Sci. Comput. 74, No. 3, 1706--1724 (2018; Zbl 1398.65321) Full Text: DOI
Gordienko, V. M. On the matrices of Clebsch-Gordan coefficients. (English. Russian original) Zbl 1398.22015 Sib. Math. J. 58, No. 6, 990-1003 (2017); translation from Sib. Mat. Zh. 58, No. 6, 1276-1291 (2017). Reviewer: Nicolae Cotfas (Bucureşti) MSC: 22E46 PDFBibTeX XMLCite \textit{V. M. Gordienko}, Sib. Math. J. 58, No. 6, 990--1003 (2017; Zbl 1398.22015); translation from Sib. Mat. Zh. 58, No. 6, 1276--1291 (2017) Full Text: DOI
Mashtakov, A.; Duits, R.; Sachkov, Yu.; Bekkers, E. J.; Beschastnyi, I. Tracking of lines in spherical images via sub-Riemannian geodesics in \(\mathrm{SO}(3)\). (English) Zbl 1387.68222 J. Math. Imaging Vis. 58, No. 2, 239-264 (2017). MSC: 68T45 53A04 68U10 94A08 PDFBibTeX XMLCite \textit{A. Mashtakov} et al., J. Math. Imaging Vis. 58, No. 2, 239--264 (2017; Zbl 1387.68222) Full Text: DOI arXiv
Celakoska, Emilija; Hadzieva, Elena; Celakoska-Jordanova, Vesna On complex homogeneous space of vectors with constraints. (English) Zbl 1381.32010 J. Geom. Symmetry Phys. 44, 1-11 (2017). MSC: 32M05 PDFBibTeX XMLCite \textit{E. Celakoska} et al., J. Geom. Symmetry Phys. 44, 1--11 (2017; Zbl 1381.32010) Full Text: DOI Link
Mityushov, Evgeniĭ Aleksandrovich; Misyura, Natal’ya Evgen’evna; Berestova, Svetlana Aleksandrovna Smooth movement of a rigid body in orientational space along the shortest path through the uniform lattice of the points on \(\mathrm{SO}(3)\). (Russian. English summary) Zbl 1427.70018 Vestn. Udmurt. Univ., Mat. Mekh. Komp’yut. Nauki 27, No. 1, 138-145 (2017). MSC: 70E15 70B10 PDFBibTeX XMLCite \textit{E. A. Mityushov} et al., Vestn. Udmurt. Univ., Mat. Mekh. Komp'yut. Nauki 27, No. 1, 138--145 (2017; Zbl 1427.70018) Full Text: DOI
Mashtakov, A. P.; Duits, Remco; Sachkov, Yu. L.; Bekkers, Erik; Beschastnyi, I. Yu. Sub-Riemannian geodesics in \(\mathrm{SO}(3)\) with application to vessel tracking in spherical images of retina. (English, Russian) Zbl 1373.49057 Dokl. Math. 95, No. 2, 168-171 (2017); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 473, No. 5, 521-524 (2017). MSC: 49Q99 53C17 53C22 PDFBibTeX XMLCite \textit{A. P. Mashtakov} et al., Dokl. Math. 95, No. 2, 168--171 (2017; Zbl 1373.49057); translation in Dokl. Akad. Nauk, Ross. Akad. Nauk 473, No. 5, 521--524 (2017) Full Text: DOI
Wendler, Wolf-Michael Mathematics and codons. (English) Zbl 1371.92002 Berichte aus der Mathematik. Aachen: Shaker Verlag (ISBN 978-3-8440-5298-5/hbk). xix, 516 p. (2017). Reviewer: Irina Ioana Mohorianu (Norwich) MSC: 92-02 92C40 92D10 92D20 PDFBibTeX XMLCite \textit{W.-M. Wendler}, Mathematics and codons. Aachen: Shaker Verlag (2017; Zbl 1371.92002)
Durmaz, Olgun; Aktaş, Buşra; Gündoğan, Halit The derivative and tangent operators of a motion in Lorentzian space. (English) Zbl 1412.70001 Int. J. Geom. Methods Mod. Phys. 14, No. 4, Article ID 1750058, 11 p. (2017). MSC: 70B10 15B10 97I20 PDFBibTeX XMLCite \textit{O. Durmaz} et al., Int. J. Geom. Methods Mod. Phys. 14, No. 4, Article ID 1750058, 11 p. (2017; Zbl 1412.70001) Full Text: DOI
Zhu, Yi; Chen, Xin; Li, Chuntao Some discussions about the error functions on SO(3) and SE(3) for the guidance of a UAV using the screw algebra theory. (English) Zbl 1353.93082 Adv. Math. Phys. 2017, Article ID 1016530, 11 p. (2017). MSC: 93C85 93B25 93A30 93C10 93C15 PDFBibTeX XMLCite \textit{Y. Zhu} et al., Adv. Math. Phys. 2017, Article ID 1016530, 11 p. (2017; Zbl 1353.93082) Full Text: DOI
Thyssen, Pieter; Ceulemans, Arnout Shattered symmetry. Group theory from the eightfold way to the periodic table. (English) Zbl 1383.20001 Oxford: Oxford University Press (ISBN 978-0-19-061139-2/hbk). xxiii, 498 p. (2017). Reviewer: Balasubramanian Sury (Bangalore) MSC: 20-01 22-01 20G20 20F65 92E10 22E70 17B81 PDFBibTeX XMLCite \textit{P. Thyssen} and \textit{A. Ceulemans}, Shattered symmetry. Group theory from the eightfold way to the periodic table. Oxford: Oxford University Press (2017; Zbl 1383.20001)
Marino, Enzo Isogeometric collocation for three-dimensional geometrically exact shear-deformable beams. (English) Zbl 1439.74159 Comput. Methods Appl. Mech. Eng. 307, 383-410 (2016). MSC: 74K10 65D07 65N35 PDFBibTeX XMLCite \textit{E. Marino}, Comput. Methods Appl. Mech. Eng. 307, 383--410 (2016; Zbl 1439.74159) Full Text: DOI Link
Terze, Zdravko; Müller, Andreas; Zlatar, Dario Singularity-free time integration of rotational quaternions using non-redundant ordinary differential equations. (English) Zbl 1386.70009 Multibody Syst. Dyn. 38, No. 3, 201-225 (2016). MSC: 70E15 65L80 PDFBibTeX XMLCite \textit{Z. Terze} et al., Multibody Syst. Dyn. 38, No. 3, 201--225 (2016; Zbl 1386.70009) Full Text: DOI
Jadczyk, Arkadiusz; Szulga, Jerzy Lorentz transformation from an elementary point of view. (English) Zbl 1356.15019 Electron. J. Linear Algebra 31, 794-833 (2016). MSC: 15B57 17B81 22E70 15A18 15A16 PDFBibTeX XMLCite \textit{A. Jadczyk} and \textit{J. Szulga}, Electron. J. Linear Algebra 31, 794--833 (2016; Zbl 1356.15019) Full Text: DOI arXiv
Zhang, Hong-Biao; Wang, Gang-Cheng Generic representation of \(Y(\mathrm{so}(3))\) based on the Lie algebraic basis of \(\mathrm{so}(3)\). (English) Zbl 1338.81362 Int. J. Theor. Phys. 55, No. 5, 2529-2540 (2016). MSC: 81U40 17B81 PDFBibTeX XMLCite \textit{H.-B. Zhang} and \textit{G.-C. Wang}, Int. J. Theor. Phys. 55, No. 5, 2529--2540 (2016; Zbl 1338.81362) Full Text: DOI
Simas, Fabio Nonnegatively curved five-manifolds with non-abelian symmetry. (English) Zbl 1344.53030 Geom. Dedicata 181, 61-82 (2016). Reviewer: Costache Apreutesei (Iaşi) MSC: 53C20 53C21 57S15 PDFBibTeX XMLCite \textit{F. Simas}, Geom. Dedicata 181, 61--82 (2016; Zbl 1344.53030) Full Text: DOI arXiv
Davidov, Johann Normality of the twistor space of a 5-manifold with an irreducible \(\mathrm{SO}(3)\)-structure. (English) Zbl 1334.53040 Mediterr. J. Math. 13, No. 1, 413-442 (2016). MSC: 53C28 53D15 PDFBibTeX XMLCite \textit{J. Davidov}, Mediterr. J. Math. 13, No. 1, 413--442 (2016; Zbl 1334.53040) Full Text: DOI arXiv
Xing, Yan; Xu, Ren-zheng; Tan, Jie-qing; Fan, Wen; Hong, Ling A class of generalized B-spline quaternion curves. (English) Zbl 1410.65038 Appl. Math. Comput. 271, 288-300 (2015). MSC: 65D07 41A15 68U05 PDFBibTeX XMLCite \textit{Y. Xing} et al., Appl. Math. Comput. 271, 288--300 (2015; Zbl 1410.65038) Full Text: DOI
Gusev, A. A.; Gerdt, V. P.; Vinitsky, S. I.; Derbov, V. L.; Góźdź, A.; Pędrak, A. Symbolic algorithm for generating irreducible bases of point groups in the space of \(\mathrm{SO(3)}\) group. (English) Zbl 1434.20034 Gerdt, Vladimir P. (ed.) et al., Computer algebra in scientific computing. 17th international workshop, CASC 2015, Aachen, Germany, September 14–18, 2015. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 9301, 166-181 (2015). MSC: 20H15 22E70 68W30 PDFBibTeX XMLCite \textit{A. A. Gusev} et al., Lect. Notes Comput. Sci. 9301, 166--181 (2015; Zbl 1434.20034) Full Text: DOI
Li, Beibei; Zhao, Zhihong; Shen, Xuan; Xue, Cendi; Zhong, Liwei Fitting \(\alpha \beta \)-crystalline structure onto electron microscopy based on \(\mathrm{SO}(3)\) rotation group theory. (English) Zbl 1334.90148 J. Comb. Optim. 30, No. 4, 906-919 (2015). MSC: 90C27 90C90 PDFBibTeX XMLCite \textit{B. Li} et al., J. Comb. Optim. 30, No. 4, 906--919 (2015; Zbl 1334.90148) Full Text: DOI
Mecchia, Mattia; Seppi, Andrea Fibered spherical 3-orbifolds. (English) Zbl 1328.57023 Rev. Mat. Iberoam. 31, No. 3, 811-840 (2015). Reviewer: Saibal Ganguli (Allahabad) MSC: 57M60 57M12 57M50 PDFBibTeX XMLCite \textit{M. Mecchia} and \textit{A. Seppi}, Rev. Mat. Iberoam. 31, No. 3, 811--840 (2015; Zbl 1328.57023) Full Text: DOI arXiv
Gumerov, Nail A.; Duraiswami, Ramani Recursive computation of spherical harmonic rotation coefficients of large degree. (English) Zbl 1325.65163 Balan, Radu (ed.) et al., Excursions in harmonic analysis, Volume 3. The February Fourier talks at the Norbert Wiener Center, College Park, MD, USA, 2002–2013. Cham: Birkhäuser/Springer (ISBN 978-3-319-13229-7/hbk; 978-3-319-13230-3/ebook). Applied and Numerical Harmonic Analysis, 105-141 (2015). MSC: 65N38 35J05 65N06 65T50 65N12 65Y20 33C55 PDFBibTeX XMLCite \textit{N. A. Gumerov} and \textit{R. Duraiswami}, in: Excursions in harmonic analysis, Volume 3. The February Fourier talks at the Norbert Wiener Center, College Park, MD, USA, 2002--2013. Cham: Birkhäuser/Springer. 105--141 (2015; Zbl 1325.65163) Full Text: DOI arXiv
Girard, Patrick R.; Clarysse, Patrick; Pujol, Romaric; Wang, Liang; Delachartre, Philippe Differential geometry revisited by biquaternion Clifford algebra. (English) Zbl 1364.53005 Boissonnat, Jean-Daniel (ed.) et al., Curves and surfaces. 8th international conference, Paris, France, June 12–18, 2014. Revised selected papers. Cham: Springer (ISBN 978-3-319-22803-7/pbk; 978-3-319-22804-4/ebook). Lecture Notes in Computer Science 9213, 216-242 (2015). MSC: 53A07 53A04 53A05 11R52 97G99 PDFBibTeX XMLCite \textit{P. R. Girard} et al., Lect. Notes Comput. Sci. 9213, 216--242 (2015; Zbl 1364.53005) Full Text: DOI HAL
Terze, Zdravko; Müller, Andreas; Zlatar, Dario Lie-group integration method for constrained multibody systems in state space. (English) Zbl 1339.70037 Multibody Syst. Dyn. 34, No. 3, 275-305 (2015). MSC: 70H45 70E55 70G65 PDFBibTeX XMLCite \textit{Z. Terze} et al., Multibody Syst. Dyn. 34, No. 3, 275--305 (2015; Zbl 1339.70037) Full Text: DOI
Antonova, A. O.; Savyolova, T. I. Error estimation for computed polycrystalline texture characteristics by varying measurement parameters in electron microscopy methods. (English. Russian original) Zbl 1320.82066 Comput. Math. Math. Phys. 55, No. 2, 317-329 (2015); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 2, 322-334 (2015). MSC: 82D25 82B80 82-08 82-05 PDFBibTeX XMLCite \textit{A. O. Antonova} and \textit{T. I. Savyolova}, Comput. Math. Math. Phys. 55, No. 2, 317--329 (2015; Zbl 1320.82066); translation from Zh. Vychisl. Mat. Mat. Fiz. 55, No. 2, 322--334 (2015) Full Text: DOI
Shen, Shoufeng; Jiang, Liya; Jin, Yongyang; Ma, Wen-Xiu New soliton hierarchies associated with the Lie algebra so(3,\(\mathbb{R}\)) and their Bi-Hamiltonian structures. (English) Zbl 1315.37044 Rep. Math. Phys. 75, No. 1, 113-133 (2015). MSC: 37K10 17B80 PDFBibTeX XMLCite \textit{S. Shen} et al., Rep. Math. Phys. 75, No. 1, 113--133 (2015; Zbl 1315.37044) Full Text: DOI
Fino, Anna; Nurowski, Paweł Analog of selfduality in dimension nine. (English) Zbl 1321.53026 J. Reine Angew. Math. 699, 67-110 (2015). Reviewer: Witold Mozgawa (Lublin) MSC: 53C05 53C29 PDFBibTeX XMLCite \textit{A. Fino} and \textit{P. Nurowski}, J. Reine Angew. Math. 699, 67--110 (2015; Zbl 1321.53026) Full Text: DOI arXiv
Sedykh, A. G.; Berezina, A. S. Homogeneous Berger space and deformations of the \(\operatorname{SO(3)} \)-structure by its geodesic on 5-dimension Lie groups. (Russian. English summary) Zbl 07604785 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2014, No. 6(32), 35-45 (2014). MSC: 53-XX 81-XX PDFBibTeX XMLCite \textit{A. G. Sedykh} and \textit{A. S. Berezina}, Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2014, No. 6(32), 35--45 (2014; Zbl 07604785) Full Text: MNR
Burlak, Gennadiy; Imaykin, Valeriy; Merzon, Anatoli On Hamiltonian theory for rotating charge coupled to the Maxwell field. (English) Zbl 1321.35223 Commun. Math. Anal. 17, No. 2, 24-33 (2014). MSC: 35Q61 35Q70 70H05 PDFBibTeX XMLCite \textit{G. Burlak} et al., Commun. Math. Anal. 17, No. 2, 24--33 (2014; Zbl 1321.35223) Full Text: Euclid
Montaldi, James Bifurcations of relative equilibria near zero momentum in Hamiltonian systems with spherical symmetry. (English) Zbl 1304.70021 J. Geom. Mech. 6, No. 2, 237-260 (2014). MSC: 70H33 37N05 37J20 PDFBibTeX XMLCite \textit{J. Montaldi}, J. Geom. Mech. 6, No. 2, 237--260 (2014; Zbl 1304.70021) Full Text: DOI arXiv
Jadczyk, Arkadiusz; Szulga, Jerzy A comment on “On the rotation matrix in Minkowski space-time” by Özdemir and Erdoğdu. (English) Zbl 1306.15037 Rep. Math. Phys. 74, No. 1, 39-44 (2014). MSC: 15B57 15A16 PDFBibTeX XMLCite \textit{A. Jadczyk} and \textit{J. Szulga}, Rep. Math. Phys. 74, No. 1, 39--44 (2014; Zbl 1306.15037) Full Text: DOI arXiv
Cochran, Tim D.; Tanner, Daniel Homology cobordism and Seifert fibered \(3\)-manifolds. (English) Zbl 1307.57014 Proc. Am. Math. Soc. 142, No. 11, 4015-4024 (2014). Reviewer: Kimihiko Motegi (Tokyo) MSC: 57N10 57R75 PDFBibTeX XMLCite \textit{T. D. Cochran} and \textit{D. Tanner}, Proc. Am. Math. Soc. 142, No. 11, 4015--4024 (2014; Zbl 1307.57014) Full Text: DOI arXiv
Caprau, Carmen; Heywood, David; Ibarra, Dionne On a state model for the \(\mathrm{SO}(2n)\) Kauffman polynomial. (English) Zbl 1297.57027 Involve 7, No. 4, 547-563 (2014). Reviewer: Jessica Banks (Hull) MSC: 57M27 57M15 PDFBibTeX XMLCite \textit{C. Caprau} et al., Involve 7, No. 4, 547--563 (2014; Zbl 1297.57027) Full Text: DOI arXiv
Mikeš, Josef; Stepanova, Elena A five-dimensional Riemannian manifold with an irreducible \(\mathrm{SO}(3)\)-structure as a model of abstract statistical manifold. (English) Zbl 1292.53025 Ann. Global Anal. Geom. 45, No. 2, 111-128 (2014). MSC: 53C20 53C21 53C24 62B10 PDFBibTeX XMLCite \textit{J. Mikeš} and \textit{E. Stepanova}, Ann. Global Anal. Geom. 45, No. 2, 111--128 (2014; Zbl 1292.53025) Full Text: DOI
Sedykh, A. G. On approximately integrable \(SO(3)\) structures on 5-dimensional manifolds. (Russian. English summary) Zbl 07607414 Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2013, No. 3(23), 45-50 (2013). MSC: 53-XX 37-XX PDFBibTeX XMLCite \textit{A. G. Sedykh}, Vestn. Tomsk. Gos. Univ., Mat. Mekh. 2013, No. 3(23), 45--50 (2013; Zbl 07607414) Full Text: MNR
Zhao, Y. M. The \(\mathrm{SO}(3)\) symmetry in the nuclear shell model. (English) Zbl 1297.81190 Bai, Chengming (ed.) et al., Symmetries and groups in contemporary physics. Proceedings of the XXIX international colloquium on group-theoretical methods in physics, Tianjin, China, August 20–26, 2012. Hackensack, NJ: World Scientific (ISBN 978-981-4518-54-3/hbk; 978-981-4518-56-7/ebook). Nankai Series in Pure, Applied Mathematics and Theoretical Physics 11, 555-560 (2013). MSC: 81V35 20C35 81R05 81Q10 PDFBibTeX XMLCite \textit{Y. M. Zhao}, Nankai Ser. Pure Appl. Math. Theor. Phys. 11, 555--560 (2013; Zbl 1297.81190) Full Text: DOI
Dawson, Robert Orbits and locked gimbals. (English) Zbl 1271.22020 Math. Intell. 35, No. 1, 67-70 (2013). Reviewer: Dmitri Artamonov (Moscow) MSC: 22E70 22-00 PDFBibTeX XMLCite \textit{R. Dawson}, Math. Intell. 35, No. 1, 67--70 (2013; Zbl 1271.22020) Full Text: DOI
Mariano, Paolo Maria; Planas, Jaime Phason self-actions in quasicrystals. (English) Zbl 1262.82046 Physica D 249, 46-57 (2013). MSC: 82D25 52C23 20H15 PDFBibTeX XMLCite \textit{P. M. Mariano} and \textit{J. Planas}, Physica D 249, 46--57 (2013; Zbl 1262.82046) Full Text: DOI
Chiossi, Simon G.; Maciá, Óscar SO(3)-structures on 8-manifolds. (English) Zbl 1273.53019 Ann. Global Anal. Geom. 43, No. 1, 1-18 (2013). Reviewer: Simona Druta-Romaniuc (Iaşi) MSC: 53C10 53C15 53C26 57R20 PDFBibTeX XMLCite \textit{S. G. Chiossi} and \textit{Ó. Maciá}, Ann. Global Anal. Geom. 43, No. 1, 1--18 (2013; Zbl 1273.53019) Full Text: DOI arXiv
Uvarov, D. V. Kaluza-Klein gauge and minimal integrable extension of \(OSp(4|6)/(SO(1,3) \times U(3))\) sigma-model. (English) Zbl 1260.81211 Int. J. Mod. Phys. A 27, No. 21, Paper No. 1250118, 26 p. (2012). MSC: 81T30 81T60 83E15 81R40 81T13 81T20 PDFBibTeX XMLCite \textit{D. V. Uvarov}, Int. J. Mod. Phys. A 27, No. 21, Paper No. 1250118, 26 p. (2012; Zbl 1260.81211) Full Text: DOI arXiv
Keiner, Jens; Vollrath, Antje A new algorithm for the nonequispaced fast Fourier transform on the rotation group. (English) Zbl 1259.65224 SIAM J. Sci. Comput. 34, No. 5, A2599-A2624 (2012). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 42C10 42C20 65F15 PDFBibTeX XMLCite \textit{J. Keiner} and \textit{A. Vollrath}, SIAM J. Sci. Comput. 34, No. 5, A2599--A2624 (2012; Zbl 1259.65224) Full Text: DOI Link
Gräf, Manuel A unified approach to scattered data approximation on \(\mathbb{S}^{\mathbf {3}}\) and \(\mathrm{SO(3)}\). (English) Zbl 1257.41001 Adv. Comput. Math. 37, No. 3, 379-392 (2012). MSC: 41A05 41A17 65D32 PDFBibTeX XMLCite \textit{M. Gräf}, Adv. Comput. Math. 37, No. 3, 379--392 (2012; Zbl 1257.41001) Full Text: DOI
Sezgin, M. The Casimir operator of the group \(SO(3,2)\). (English) Zbl 1250.22021 Far East J. Appl. Math. 62, No. 1, 37-47 (2012). MSC: 22E70 70G65 PDFBibTeX XMLCite \textit{M. Sezgin}, Far East J. Appl. Math. 62, No. 1, 37--47 (2012; Zbl 1250.22021) Full Text: Link
Panahi, H.; Pouraram, H. Continuous spectrum of trigonometric Rosen-Morse and Eckart potentials from free particle spectrum. (English) Zbl 1264.81227 Commun. Theor. Phys. 55, No. 6, 965-968 (2011). MSC: 81Q60 81Q10 22E70 PDFBibTeX XMLCite \textit{H. Panahi} and \textit{H. Pouraram}, Commun. Theor. Phys. 55, No. 6, 965--968 (2011; Zbl 1264.81227) Full Text: DOI
Gilmer, Patrick M.; Masbaum, Gregor Integral topological quantum field theory for a one-holed torus. (English) Zbl 1232.57023 Pac. J. Math. 252, No. 1, 93-112 (2011). Reviewer: Daniel Moskovich (Singapore) MSC: 57R56 57M27 PDFBibTeX XMLCite \textit{P. M. Gilmer} and \textit{G. Masbaum}, Pac. J. Math. 252, No. 1, 93--112 (2011; Zbl 1232.57023) Full Text: DOI arXiv Link
Wolf, Kurt Bernardo Finite Hamiltonian systems on phase space. (English) Zbl 1234.78001 Blázquez-Sanz, David (ed.) et al., Symmetries and related topics in differential and difference equations. 3rd Jairo Charris seminar 2009 on symmetries of differential and difference equations, Escuela de Matemáticas, Universidad Sergio Arboleda, Bogotá, Colombia, July 31–August 2, 2009. Providence, RI: American Mathematical Society (AMS) (ISBN 978-0-8218-6872-0/pbk). Contemporary Mathematics 549, 141-163 (2011). MSC: 78A05 20C35 33C90 37J35 81V99 81S10 PDFBibTeX XMLCite \textit{K. B. Wolf}, Contemp. Math. 549, 141--163 (2011; Zbl 1234.78001)
Choi, Suhyoung Spherical triangles and the two components of the SO(3)-character space of the fundamental group of a closed surface of genus 2. (English) Zbl 1261.57017 Int. J. Math. 22, No. 9, 1261-1364 (2011). Reviewer: Sean Lawton (Edinburg) MSC: 57M50 58D29 20F34 57R18 PDFBibTeX XMLCite \textit{S. Choi}, Int. J. Math. 22, No. 9, 1261--1364 (2011; Zbl 1261.57017) Full Text: DOI arXiv
Singer, A.; Shkolnisky, Y. Three-dimensional structure determination from common lines in cryo-EM by eigenvectors and semidefinite programming. (English) Zbl 1216.92045 SIAM J. Imaging Sci. 4, No. 2, 543-572 (2011). MSC: 92C55 92C05 90C22 92E10 68U10 PDFBibTeX XMLCite \textit{A. Singer} and \textit{Y. Shkolnisky}, SIAM J. Imaging Sci. 4, No. 2, 543--572 (2011; Zbl 1216.92045) Full Text: DOI Link
Agricola, Ilka; Becker-Bender, Julia; Friedrich, Thomas On the topology and the geometry of SO(3)-manifolds. (English) Zbl 1218.53047 Ann. Global Anal. Geom. 40, No. 1, 67-84 (2011). Reviewer: Ioan Pop (Iaşi) MSC: 53C25 53C30 53D35 55R40 PDFBibTeX XMLCite \textit{I. Agricola} et al., Ann. Global Anal. Geom. 40, No. 1, 67--84 (2011; Zbl 1218.53047) Full Text: DOI arXiv
Tarasov, V. F. Exact analytical expressions and numerical values of Slater’s and Marvin’s radial integrals of the type \(R_k^{(\mu, \nu)} (11,21;12,22), F_k^{(\mu, \nu)} (1,2)\) and \(G_k^{(\mu, \nu)} (1;2)\) with the kernel \(r_<^{k+\mu}/r_>^{k+\mu}\) (as \(k \geq 0, \mu \geq 0\) is an even and \(\nu - \mu = 1,3,5, \dots\)) for arbitrary \(nl\)-states of H-like atoms and \(Z \leq 137\) by means of Appell’s \(F_2 (x,y)\) and Gauss’s \(_2F_1 (z)\) functions. (English) Zbl 1213.82003 Int. J. Mod. Phys. B 24, No. 27, 5387-5407 (2010). MSC: 82-08 65D30 81V45 33F05 PDFBibTeX XMLCite \textit{V. F. Tarasov}, Int. J. Mod. Phys. B 24, No. 27, 5387--5407 (2010; Zbl 1213.82003) Full Text: DOI
Müller, Andreas Group theoretical approaches to vector parameterization of rotations. (English) Zbl 1376.70007 J. Geom. Symmetry Phys. 19, 43-72 (2010). MSC: 70E17 70G65 PDFBibTeX XMLCite \textit{A. Müller}, J. Geom. Symmetry Phys. 19, 43--72 (2010; Zbl 1376.70007) Full Text: Euclid
Anco, Stephen C.; Myrzakulov, R. Integrable generalizations of Schrödinger maps and Heisenberg spin models from Hamiltonian flows of curves and surfaces. (English) Zbl 1195.53062 J. Geom. Phys. 60, No. 10, 1576-1603 (2010). Reviewer: Joseph D. Zund (Las Cruces) MSC: 53C27 PDFBibTeX XMLCite \textit{S. C. Anco} and \textit{R. Myrzakulov}, J. Geom. Phys. 60, No. 10, 1576--1603 (2010; Zbl 1195.53062) Full Text: DOI arXiv
Balachandran, A. P.; Jo, S. G.; Marmo, G. Group theory and Hopf algebras. Lectures for physicists. (English) Zbl 1204.20001 Hackensack, NJ: World Scientific (ISBN 978-981-4322-20-1/hbk). xiv, 254 p. (2010). Reviewer: Eugene Kryachko (Liège) MSC: 20-01 22-01 16-01 81-01 00A79 16T05 20C15 22E70 20C35 PDFBibTeX XMLCite \textit{A. P. Balachandran} et al., Group theory and Hopf algebras. Lectures for physicists. Hackensack, NJ: World Scientific (2010; Zbl 1204.20001)
Hielscher, Ralf; Schaeben, Helmut; Siemes, Heinrich Orientation distribution within a single hematite crystal. (English) Zbl 1190.82046 Math. Geosci. 42, No. 4, 359-375 (2010). MSC: 82D25 PDFBibTeX XMLCite \textit{R. Hielscher} et al., Math. Geosci. 42, No. 4, 359--375 (2010; Zbl 1190.82046) Full Text: DOI
Kosmann-Schwarzbach, Yvette [Singer, Stephanie Frank] Groups and symmetries. From finite groups to Lie groups. Transl. from the French by Stephanie Frank Singer. (English) Zbl 1201.20001 Universitext. New York, NY: Springer (ISBN 978-0-387-78865-4/pbk; 978-0-387-78866-1/e-book). xv, 194 p. (2010). Reviewer: Eugene Kryachko (Liège) MSC: 20-01 22-01 20C15 22E70 20C35 20G05 81V55 81V05 PDFBibTeX XMLCite \textit{Y. Kosmann-Schwarzbach}, Groups and symmetries. From finite groups to Lie groups. Transl. from the French by Stephanie Frank Singer. New York, NY: Springer (2010; Zbl 1201.20001) Full Text: DOI arXiv
Popov, Alexander D. Integrability of vortex equations on Riemann surfaces. (English) Zbl 1203.53075 Nucl. Phys., B 821, No. 3, 452-466 (2009). MSC: 53C80 37K10 81T13 53C28 PDFBibTeX XMLCite \textit{A. D. Popov}, Nucl. Phys., B 821, No. 3, 452--466 (2009; Zbl 1203.53075) Full Text: DOI arXiv
Thuillier, F. Deligne-Beilinson cohomology and abelian link invariants: torsion case. (English) Zbl 1372.53030 J. Math. Phys. 50, No. 12, 122301, 10 p. (2009). MSC: 53C08 57M27 58J28 81T10 PDFBibTeX XMLCite \textit{F. Thuillier}, J. Math. Phys. 50, No. 12, 122301, 10 p. (2009; Zbl 1372.53030) Full Text: DOI arXiv
Cerkaski, M. Ellipsoids of \(\mathrm{U}(3)\) model. (English) Zbl 1283.81082 J. Math. Phys. 50, No. 10, 102703, 22 p. (2009). MSC: 81R05 17B81 70F45 PDFBibTeX XMLCite \textit{M. Cerkaski}, J. Math. Phys. 50, No. 10, 102703, 22 p. (2009; Zbl 1283.81082) Full Text: DOI arXiv
Li, Banghe; Li, Tianjun Ohtsuki’s invariant cannot determine the full \(SO (3)\) quantum invariants. (English) Zbl 1212.57002 Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 3, 642-644 (2009). MSC: 57M27 57R56 PDFBibTeX XMLCite \textit{B. Li} and \textit{T. Li}, Acta Math. Sci., Ser. B, Engl. Ed. 29, No. 3, 642--644 (2009; Zbl 1212.57002) Full Text: DOI