Souris, Nikolaos Panagiotis Geodesics as products of one-parameter subgroups in compact Lie groups and homogeneous spaces. (English) Zbl 07747129 Math. Nachr. 296, No. 6, 2609-2625 (2023). Reviewer: Liviu Popescu (Craiova) MSC: 53C30 53C22 53C80 37J39 70E40 PDFBibTeX XMLCite \textit{N. P. Souris}, Math. Nachr. 296, No. 6, 2609--2625 (2023; Zbl 07747129) Full Text: DOI
Sloan, David Herglotz action for homogeneous cosmologies. (English) Zbl 1522.83455 Classical Quantum Gravity 40, No. 11, Article ID 115008, 19 p. (2023). MSC: 83F05 18D25 70G45 14M17 83C05 18M10 70F40 PDFBibTeX XMLCite \textit{D. Sloan}, Classical Quantum Gravity 40, No. 11, Article ID 115008, 19 p. (2023; Zbl 1522.83455) Full Text: DOI arXiv
Chagoya, Javier; Sabido, Miguel; Silva-García, A. Vector-tensor gravity from a broken gauge symmetry. (English) Zbl 1522.83141 Classical Quantum Gravity 40, No. 9, Article ID 095007, 24 p. (2023). MSC: 83C57 83D05 70S15 83C60 14B25 52A55 14M17 83E05 PDFBibTeX XMLCite \textit{J. Chagoya} et al., Classical Quantum Gravity 40, No. 9, Article ID 095007, 24 p. (2023; Zbl 1522.83141) Full Text: DOI arXiv
Magazev, A. A.; Popov, A. S.; Shirokov, I. V. Constructing invariant differential operators on homogeneous spaces using the star product. (English. Russian original) Zbl 1515.81137 Russ. Phys. J. 64, No. 10, 1783-1791 (2022); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 10, 3-10 (2021). MSC: 81R10 53D55 17B45 14M17 81Q10 47A15 70H05 PDFBibTeX XMLCite \textit{A. A. Magazev} et al., Russ. Phys. J. 64, No. 10, 1783--1791 (2022; Zbl 1515.81137); translation from Izv. Vyssh. Uchebn. Zaved., Fiz. 64, No. 10, 3--10 (2021) Full Text: DOI
Song, Yisheng; Li, Xudong Copositivity for a class of fourth-order symmetric tensors given by scalar dark matter. (English) Zbl 1502.90121 J. Optim. Theory Appl. 195, No. 1, 334-346 (2022). MSC: 90C23 15A63 81T32 70S20 15A72 47H09 15B48 47H07 PDFBibTeX XMLCite \textit{Y. Song} and \textit{X. Li}, J. Optim. Theory Appl. 195, No. 1, 334--346 (2022; Zbl 1502.90121) Full Text: DOI arXiv
Buchholz, Detlev; Ciolli, Fabio; Ruzzi, Giuseppe; Vasselli, Ezio The universal algebra of the electromagnetic field. III. Static charges and emergence of gauge fields. (English) Zbl 1489.81046 Lett. Math. Phys. 112, No. 2, Paper No. 27, 13 p. (2022). MSC: 81T05 70S15 57T15 81V10 46N50 14F40 46L05 46L60 PDFBibTeX XMLCite \textit{D. Buchholz} et al., Lett. Math. Phys. 112, No. 2, Paper No. 27, 13 p. (2022; Zbl 1489.81046) Full Text: DOI arXiv
Liu, Jiarui; Song, Yisheng Copositivity for 3rd-order symmetric tensors and applications. (English) Zbl 1483.90107 Bull. Malays. Math. Sci. Soc. (2) 45, No. 1, 133-152 (2022). MSC: 90C23 15A63 81T32 70S20 15A72 47H09 47H07 PDFBibTeX XMLCite \textit{J. Liu} and \textit{Y. Song}, Bull. Malays. Math. Sci. Soc. (2) 45, No. 1, 133--152 (2022; Zbl 1483.90107) Full Text: DOI arXiv
Wolfson, Ira; Maleknejad, Azadeh; Murata, Tomoaki; Komatsu, Eiichiro; Kobayashi, Tsutomu The isotropic attractor solution of axion-SU(2) inflation: universal isotropization in Bianchi type-I geometry. (English) Zbl 1486.83159 J. Cosmol. Astropart. Phys. 2021, No. 9, Paper No. 31, 23 p. (2021). MSC: 83E05 83F05 81V35 70S15 81V25 14M17 74E10 14C05 PDFBibTeX XMLCite \textit{I. Wolfson} et al., J. Cosmol. Astropart. Phys. 2021, No. 9, Paper No. 31, 23 p. (2021; Zbl 1486.83159) Full Text: DOI arXiv
Kaya, R.; Özçelik, H. T. Particle motion in a space-time of a 3D Einstein gravity with torsion. (English) Zbl 1483.83005 Gen. Relativ. Gravitation 53, No. 8, Paper No. 74, 25 p. (2021). MSC: 83C05 57Q10 83C60 81V17 70H20 57T20 70M20 PDFBibTeX XMLCite \textit{R. Kaya} and \textit{H. T. Özçelik}, Gen. Relativ. Gravitation 53, No. 8, Paper No. 74, 25 p. (2021; Zbl 1483.83005) Full Text: DOI
Krakowski, Krzysztof A.; Machado, Luís; Silva Leite, Fátima A unifying approach for rolling symmetric spaces. (English) Zbl 1498.70023 J. Geom. Mech. 13, No. 1, 145-166 (2021). MSC: 70G45 53C35 53A17 PDFBibTeX XMLCite \textit{K. A. Krakowski} et al., J. Geom. Mech. 13, No. 1, 145--166 (2021; Zbl 1498.70023) Full Text: DOI
Helpin, Thomas; Volkov, Mikhail S. Varying the Horndeski Lagrangian within the Palatini approach. (English) Zbl 1489.83034 J. Cosmol. Astropart. Phys. 2020, No. 1, Paper No. 44, 34 p. (2020). MSC: 83C56 83D05 83F05 81V22 53C07 70S05 14R10 53C30 76F05 PDFBibTeX XMLCite \textit{T. Helpin} and \textit{M. S. Volkov}, J. Cosmol. Astropart. Phys. 2020, No. 1, Paper No. 44, 34 p. (2020; Zbl 1489.83034) Full Text: DOI arXiv
Kase, Ryotaro; Tsujikawa, Shinji General formulation of cosmological perturbations in scalar-tensor dark energy coupled to dark matter. (English) Zbl 1486.83077 J. Cosmol. Astropart. Phys. 2020, No. 11, Paper No. 32, 35 p. (2020). MSC: 83C56 83D05 83C55 76F05 76E20 70S05 70S15 83C50 78A45 81Q35 PDFBibTeX XMLCite \textit{R. Kase} and \textit{S. Tsujikawa}, J. Cosmol. Astropart. Phys. 2020, No. 11, Paper No. 32, 35 p. (2020; Zbl 1486.83077) Full Text: DOI arXiv
Castrillón López, Marco; Gadea, P. M.; Rosado María, María Eugenia Lorentzian symmetric spaces which are Einstein-Yang-Mills with respect to invariant metric connections. (English) Zbl 1459.53055 Result. Math. 75, No. 4, Paper No. 143, 27 p. (2020). Reviewer: Zdeněk Dušek (České Budějovice) MSC: 53C35 53C30 53C50 70S15 PDFBibTeX XMLCite \textit{M. Castrillón López} et al., Result. Math. 75, No. 4, Paper No. 143, 27 p. (2020; Zbl 1459.53055) Full Text: DOI
Barp, Alessandro Hamiltonian Monte Carlo on Lie groups and constrained mechanics on homogeneous manifolds. (English) Zbl 1458.70011 Nielsen, Frank (ed.) et al., Geometric science of information. 4th international conference, GSI 2019, Toulouse, France, August 27–29, 2019. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 11712, 665-675 (2019). MSC: 70G65 53C05 81-10 PDFBibTeX XMLCite \textit{A. Barp}, Lect. Notes Comput. Sci. 11712, 665--675 (2019; Zbl 1458.70011) Full Text: DOI arXiv
Lompert, Konrad; Panasyuk, Andriy Invariant Nijenhuis tensors and integrable geodesic flows. (English) Zbl 1430.37057 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 056, 30 p. (2019). Reviewer: Albert Sheu (Lawrence) MSC: 37J06 37J37 37J35 53D25 53D17 70G45 PDFBibTeX XMLCite \textit{K. Lompert} and \textit{A. Panasyuk}, SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 056, 30 p. (2019; Zbl 1430.37057) Full Text: DOI arXiv
Abazari, Nemat; Bohner, Martin; Sağer, Ilgin; Yayli, Yusuf Stationary acceleration of Frenet curves. (English) Zbl 1362.53019 J. Inequal. Appl. 2017, Paper No. 92, 13 p. (2017). MSC: 53A17 70G65 53A04 53C30 53A35 PDFBibTeX XMLCite \textit{N. Abazari} et al., J. Inequal. Appl. 2017, Paper No. 92, 13 p. (2017; Zbl 1362.53019) Full Text: DOI
Rajaratnam, Krishan; McLenaghan, Raymond G.; Valero, Carlos Orthogonal separation of the Hamilton-Jacobi equation on spaces of constant curvature. (English) Zbl 1357.53039 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 117, 30 p. (2016). MSC: 53C15 70H20 53C30 PDFBibTeX XMLCite \textit{K. Rajaratnam} et al., SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 117, 30 p. (2016; Zbl 1357.53039) Full Text: DOI arXiv
González, Jesús; Gutiérrez, Bárbara; Gutiérrez, Darwin; Lara, Adriana Motion planning in real flag manifolds. (English) Zbl 1359.55003 Homology Homotopy Appl. 18, No. 2, 359-375 (2016). Reviewer: Jose Calcines (La Laguna) MSC: 55M30 57T15 68T40 70B15 PDFBibTeX XMLCite \textit{J. González} et al., Homology Homotopy Appl. 18, No. 2, 359--375 (2016; Zbl 1359.55003) Full Text: DOI arXiv
Bucataru, Ioan; Milkovszki, Tamás; Muzsnay, Zoltán Invariant metrizability and projective metrizability on Lie groups and homogeneous spaces. (English) Zbl 1356.53021 Mediterr. J. Math. 13, No. 6, 4567-4580 (2016). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 53B05 53B40 70H03 70H30 70F17 53C30 PDFBibTeX XMLCite \textit{I. Bucataru} et al., Mediterr. J. Math. 13, No. 6, 4567--4580 (2016; Zbl 1356.53021) Full Text: DOI arXiv
Jotz Lean, Madeleine Homogeneous spaces of Dirac groupoids. (English) Zbl 1336.53092 J. Geom. Phys. 104, 89-111 (2016). MSC: 53D17 70H45 22A22 PDFBibTeX XMLCite \textit{M. Jotz Lean}, J. Geom. Phys. 104, 89--111 (2016; Zbl 1336.53092) Full Text: DOI
Vizman, Cornelia Invariant variational problems on homogeneous spaces. (English) Zbl 1420.70010 J. Geom. Phys. 90, 104-110 (2015). MSC: 70S05 70H30 58E30 58E40 PDFBibTeX XMLCite \textit{C. Vizman}, J. Geom. Phys. 90, 104--110 (2015; Zbl 1420.70010) Full Text: DOI
Andruchow, E.; Larotonda, G.; Recht, L.; Varela, A. The left invariant metric in the general linear group. (English) Zbl 1306.53039 J. Geom. Phys. 86, 241-257 (2014). MSC: 53C30 53C22 53B40 70H03 70H05 PDFBibTeX XMLCite \textit{E. Andruchow} et al., J. Geom. Phys. 86, 241--257 (2014; Zbl 1306.53039) Full Text: DOI arXiv
Ballesteros, Ángel; Blasco, Alfonso; Herranz, Francisco J.; Musso, Fabio A new integrable anisotropic oscillator on the two-dimensional sphere and the hyperbolic plane. (English) Zbl 1321.37057 J. Phys. A, Math. Theor. 47, No. 34, Article ID 345204, 21 p. (2014). Reviewer: Ioan Bucataru (Iaşi) MSC: 37J35 70H05 14M17 22E60 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., J. Phys. A, Math. Theor. 47, No. 34, Article ID 345204, 21 p. (2014; Zbl 1321.37057) Full Text: DOI arXiv
Rossi, Olga Homogeneous differential equations and the inverse problem of the calculus of variations. (English) Zbl 1299.49054 Publ. Math. Debr. 84, No. 1-2, 165-188 (2014). MSC: 49N45 49K15 58E30 70H03 PDFBibTeX XMLCite \textit{O. Rossi}, Publ. Math. Debr. 84, No. 1--2, 165--188 (2014; Zbl 1299.49054) Full Text: DOI
Barutello, Vivina L.; Jadanza, Riccardo D.; Portaluri, Alessandro Linear instability of relative equilibria for \(n\)-body problems in the plane. (English) Zbl 1291.70028 J. Differ. Equations 257, No. 6, 1773-1813 (2014). MSC: 70F10 53D12 37C80 58E05 37J45 34C25 PDFBibTeX XMLCite \textit{V. L. Barutello} et al., J. Differ. Equations 257, No. 6, 1773--1813 (2014; Zbl 1291.70028) Full Text: DOI arXiv
Ballesteros, Ángel; Herranz, Francisco J.; Musso, Fabio The anisotropic oscillator on the 2D sphere and the hyperbolic plane. (English) Zbl 1268.37077 Nonlinearity 26, No. 4, 971-990 (2013). Reviewer: Liviu Popescu (Craiova) MSC: 37J35 70H06 14M17 22E60 PDFBibTeX XMLCite \textit{Á. Ballesteros} et al., Nonlinearity 26, No. 4, 971--990 (2013; Zbl 1268.37077) Full Text: DOI arXiv
Stern, Mark Geometry of stable Yang-Mills connections. (English) Zbl 1320.53031 Janeczko, Stanislaw (ed.) et al., Advances in geometric analysis. Collected papers of the workshop on geometry in honour of Shing-Tung Yau’s 60th birthday, Warsaw, Poland, April 6–8, 2009. Somerville, MA: International Press; Beijing: Higher Education Press (ISBN 978-1-57146-248-0/pbk). Advanced Lectures in Mathematics (ALM) 21, 189-200 (2012). MSC: 53C07 70S15 14D21 PDFBibTeX XMLCite \textit{M. Stern}, Adv. Lect. Math. (ALM) 21, 189--200 (2012; Zbl 1320.53031)
Jovanović, Božidar Geodesic flows on Riemannian g.o. spaces. (English) Zbl 1309.70023 Regul. Chaotic Dyn. 16, No. 5, 504-513 (2011). MSC: 70H06 37J35 53D25 PDFBibTeX XMLCite \textit{B. Jovanović}, Regul. Chaotic Dyn. 16, No. 5, 504--513 (2011; Zbl 1309.70023) Full Text: DOI arXiv
Jovanović, Božidar Žarko Integrability of invariant geodesic flows on \(n\)-symmetric spaces. (English) Zbl 1209.53065 Ann. Global Anal. Geom. 38, No. 3, 305-316 (2010). Reviewer: Ioan Bucataru (Iaşi) MSC: 53D25 70H06 37J35 53C35 PDFBibTeX XMLCite \textit{B. Ž. Jovanović}, Ann. Global Anal. Geom. 38, No. 3, 305--316 (2010; Zbl 1209.53065) Full Text: DOI arXiv
Burov, A. A.; Chevallier, D. P. Dynamics of affinely deformable bodies from the standpoint of theoretical mechanics and differential geometry. (English) Zbl 1172.74005 Rep. Math. Phys. 62, No. 3, 283-321 (2008). Reviewer: Juan Monterde (Burjasot) MSC: 74A99 70E99 70G45 53Z05 PDFBibTeX XMLCite \textit{A. A. Burov} and \textit{D. P. Chevallier}, Rep. Math. Phys. 62, No. 3, 283--321 (2008; Zbl 1172.74005) Full Text: DOI
Sachkov, Yu. L. Controllability and symmetry of invariant systems on Lie groups and homogeneous spaces. (Управляемост’ и симметрии инвариантных систем на группах Ли и однородных пространствах.) (Russian) Zbl 1146.22001 Matematika, Prikladnaya Matematika. Moskva: Fizmatlit (ISBN 978-5-9221-0843-0/hbk). 223 p. (2007). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 93-02 93B25 93B05 53C17 22E30 43A77 49K15 70E18 70Q05 93C15 PDFBibTeX XMLCite \textit{Yu. L. Sachkov}, Управляемост' и симметрии инвариантных систем на группах Ли и однородных пространствах (Russian). Moskva: Fizmatlit (2007; Zbl 1146.22001)
Mikheyev, V.; Shirokov, I. Building of heat kernel on non-compact homogeneous spaces. (English) Zbl 1153.81508 EJTP, Electron. J. Theor. Phys. 3, No. 13, 99-108 (2006). MSC: 81S10 53D50 82B30 17B63 17C90 22E70 35Q05 35Q40 37K05 37K40 70E17 70G65 70H06 81R12 PDFBibTeX XMLCite \textit{V. Mikheyev} and \textit{I. Shirokov}, EJTP, Electron. J. Theor. Phys. 3, No. 13, 99--108 (2006; Zbl 1153.81508)
Villegas-Blas, Carlos The Bargmann transform and regularization of the 2, 3, 5-dimensional Kepler problem. (English) Zbl 1112.81070 J. Math. Phys. 47, No. 6, 062110, 35 p. (2006). MSC: 81S30 43A85 47N50 70F05 81S10 PDFBibTeX XMLCite \textit{C. Villegas-Blas}, J. Math. Phys. 47, No. 6, 062110, 35 p. (2006; Zbl 1112.81070) Full Text: DOI
Shchepetilov, Alexey V. Calculus and mechanics on two-point homogeneous Riemannian spaces. (English) Zbl 1115.53017 Lecture Notes in Physics 707. Berlin: Springer (ISBN 978-3-540-35384-3/hbk). xvii, 255 p. (2006). Reviewer: Ülo Lumiste (Tartu) MSC: 53Cxx 70Hxx 53-02 70-02 81-02 53C30 53C80 58E50 70F99 70G45 70H05 81Q99 PDFBibTeX XMLCite \textit{A. V. Shchepetilov}, Calculus and mechanics on two-point homogeneous Riemannian spaces. Berlin: Springer (2006; Zbl 1115.53017) Full Text: DOI
Butler, Leo T. An optical Hamiltonian and obstructions to integrability. (English) Zbl 1107.37045 Nonlinearity 19, No. 9, 2123-2135 (2006). Reviewer: Messoud A. Efendiev (Berlin) MSC: 37J30 37B99 70H06 PDFBibTeX XMLCite \textit{L. T. Butler}, Nonlinearity 19, No. 9, 2123--2135 (2006; Zbl 1107.37045) Full Text: DOI
Shchepetilov, Alexey V. The two-body quantum mechanical problem on spheres. (English) Zbl 1092.81019 J. Phys. A, Math. Gen. 39, No. 15, 4011-4046 (2006). Reviewer: A. A. Bogush (Minsk) MSC: 81Q05 81V99 70G65 22E70 57S25 43A85 34L40 PDFBibTeX XMLCite \textit{A. V. Shchepetilov}, J. Phys. A, Math. Gen. 39, No. 15, 4011--4046 (2006; Zbl 1092.81019) Full Text: DOI arXiv
Oprisan, C. D. Gauge invariant variables of Yang-Mills theory. (English) Zbl 1096.81023 Hadronic J. 28, No. 6, 729-738 (2005). MSC: 81T13 53C80 22F30 57S25 83C99 70S15 PDFBibTeX XMLCite \textit{C. D. Oprisan}, Hadronic J. 28, No. 6, 729--738 (2005; Zbl 1096.81023)
Rożko, Ewa Eliza Dynamics of affinely-rigid bodies with degenerate dimension. (English) Zbl 1185.70008 Rep. Math. Phys. 56, No. 3, 311-332 (2005). MSC: 70E99 70G45 74A99 PDFBibTeX XMLCite \textit{E. E. Rożko}, Rep. Math. Phys. 56, No. 3, 311--332 (2005; Zbl 1185.70008) Full Text: DOI
Giraud, Olivier Finite geometries and diffractive orbits in isospectral billiards. (English) Zbl 1074.70009 J. Phys. A, Math. Gen. 38, No. 27, L447-L483 (2005). MSC: 70F35 37J10 05B25 37N20 43A85 51E15 PDFBibTeX XMLCite \textit{O. Giraud}, J. Phys. A, Math. Gen. 38, No. 27, L447--L483 (2005; Zbl 1074.70009) Full Text: DOI arXiv
Bozis, George; Kotoulas, Thomas A. Homogeneous two-parametric families of orbits in three-dimensional homogeneous potentials. (English) Zbl 1069.37066 Inverse Probl. 21, No. 1, 343-356 (2005). MSC: 37N05 53A05 70F17 70F05 PDFBibTeX XMLCite \textit{G. Bozis} and \textit{T. A. Kotoulas}, Inverse Probl. 21, No. 1, 343--356 (2005; Zbl 1069.37066) Full Text: DOI
Shchepetilov, A. V.; Stepanova, I. E. Two-body problem on spaces of constant curvature. arXiv:math-ph/0501015 Preprint, arXiv:math-ph/0501015 [math-ph] (2005). MSC: 70F05 43A85 22E70 57S25 70G65 BibTeX Cite \textit{A. V. Shchepetilov} and \textit{I. E. Stepanova}, ``Two-body problem on spaces of constant curvature'', Preprint, arXiv:math-ph/0501015 [math-ph] (2005) Full Text: arXiv
Chirikjian, Gregory S.; Wang, Yunfeng Engineering applications of the motion-group Fourier transform. (English) Zbl 1215.43004 Rockmore, Daniel N. (ed.) et al., Modern signal processing. Cambridge: Cambridge University Press (ISBN 0-521-82706-X/hbk). Mathematical Sciences Research Institute Publications 46, 63-77 (2004). MSC: 43A85 22E30 70B15 94A05 82D60 97M50 PDFBibTeX XMLCite \textit{G. S. Chirikjian} and \textit{Y. Wang}, Math. Sci. Res. Inst. Publ. 46, 63--77 (2004; Zbl 1215.43004) Full Text: Link
Shchepetilov, A. V. Algebras of invariant differential operators on unit sphere bundles over two-point homogeneous Riemannian spaces. (English) Zbl 1042.43002 J. Phys. A, Math. Gen. 36, No. 26, 7361-7396 (2003). MSC: 43A85 22F30 58J99 70F05 PDFBibTeX XMLCite \textit{A. V. Shchepetilov}, J. Phys. A, Math. Gen. 36, No. 26, 7361--7396 (2003; Zbl 1042.43002) Full Text: DOI arXiv
Shchepetilov, A. V. Two-body problem on two-point homogeneous spaces, invariant differential operators and the mass center concept. (English) Zbl 1056.70005 J. Geom. Phys. 48, No. 2-3, 245-274 (2003). MSC: 70F05 70H33 43A85 70G65 PDFBibTeX XMLCite \textit{A. V. Shchepetilov}, J. Geom. Phys. 48, No. 2--3, 245--274 (2003; Zbl 1056.70005) Full Text: DOI arXiv
Chitour, Y. Path planning on compact Lie groups using a homotopy method. (English) Zbl 1106.93320 Syst. Control Lett. 47, No. 5, 383-391 (2002). MSC: 93C25 53C17 70F25 93C85 PDFBibTeX XMLCite \textit{Y. Chitour}, Syst. Control Lett. 47, No. 5, 383--391 (2002; Zbl 1106.93320) Full Text: DOI
Iglesias, Patrick Symmetries and moment. (Symétries et moment.) (French) Zbl 0982.70001 Collection Enseignement des Sciences. 54. Paris: Hermann. 204 p. (2001). Reviewer: Manuel de León (Madrid) MSC: 70-02 70H33 70G45 70E20 PDFBibTeX XMLCite \textit{P. Iglesias}, Symétries et moment. Paris: Hermann (2001; Zbl 0982.70001)
Fleury, M. The propagator of the Calogero-Moser system in an external quadratic potential. (English) Zbl 0989.37064 J. Geom. Phys. 28, No. 3-4, 320-338 (1998). Reviewer: Mamed Rajabov (Baku) MSC: 37K10 81Q05 70F10 81V70 43A85 PDFBibTeX XMLCite \textit{M. Fleury}, J. Geom. Phys. 28, No. 3--4, 320--338 (1998; Zbl 0989.37064) Full Text: DOI
Dai, Yu-Jie; Shoji, Michihiko; Urakawa, Hajime Harmonic maps into Lie groups and homogeneous spaces. (English) Zbl 0882.53029 Differ. Geom. Appl. 7, No. 2, 143-160 (1997). Reviewer: M.Husty (Leoben) MSC: 53C20 70B15 53C30 58E20 22E30 PDFBibTeX XMLCite \textit{Y.-J. Dai} et al., Differ. Geom. Appl. 7, No. 2, 143--160 (1997; Zbl 0882.53029) Full Text: DOI
Szenthe, János Symmetries of Lagrangian fields are homotheties in the homogeneous case. (English) Zbl 0859.58013 Janyška, Josef (ed.) et al., Differential geometry and applications. Proceedings of the 6th international conference, Brno, Czech Republic, August 28–September 1, 1995. Brno: Masaryk University. 321-328 (1996). Reviewer: M.Puta (Timişoara) MSC: 37J99 70H03 53C60 PDFBibTeX XMLCite \textit{J. Szenthe}, in: Differential geometry and applications. Proceedings of the 6th international conference, Brno, Czech Republic, August 28--September 1, 1995. Brno: Masaryk University. 321--328 (1996; Zbl 0859.58013)
Perelomov, A. M. Integrable systems of classical mechanics and Lie algebras. Volume I. Transl. from the Russian by A. G. Reyman. (English) Zbl 0699.70003 Basel etc.: Birkhäuser. x, 307 p. DM 158.00; sFr. 138.00 (1990). Reviewer: H.Rüßmann MSC: 70-02 37J99 70H05 PDFBibTeX XMLCite \textit{A. M. Perelomov}, Integrable systems of classical mechanics and Lie algebras. Volume I. Transl. from the Russian by A. G. Reyman. Basel etc.: Birkhäuser (1990; Zbl 0699.70003)
Binz, Ernst; Śniatycki, Jȩdrzej; Fischer, Hans Geometry of classical fields. (English) Zbl 0675.53065 North-Holland Mathematics Studies, 154; Notas de Matemática, 123. Amsterdam etc.: North-Holland. xviii, 450 p. $ 105.25; Dfl. 200.00 (1988). Reviewer: Bernd Wegner MSC: 53C80 53-02 58-02 83-02 81-02 70Gxx 22Exx 58Exx 58Dxx 37J99 PDFBibTeX XMLCite \textit{E. Binz} et al., Geometry of classical fields. Amsterdam etc.: North-Holland (1988; Zbl 0675.53065)
Gal’perin, G. A. On the concept of the center of mass of a system of point-masses in spaces of constant curvature. (English. Russian original) Zbl 0672.70003 Sov. Math., Dokl. 38, No. 2, 367-371 (1989); translation from Dokl. Akad. Nauk SSSR 302, No. 5, 1039-1044 (1988). MSC: 70A05 51M10 PDFBibTeX XMLCite \textit{G. A. Gal'perin}, Sov. Math., Dokl. 38, No. 2, 367--371 (1988; Zbl 0672.70003); translation from Dokl. Akad. Nauk SSSR 302, No. 5, 1039--1044 (1988)
Golubyatnikov, V. P. Integral submanifolds of phase spaces, and cohomotopy. (English. Russian original) Zbl 0604.70031 Sov. Math., Dokl. 31, 18-20 (1985); translation from Dokl. Akad. Nauk SSSR 280, 27-29 (1985). Reviewer: J.Spicker MSC: 70G10 57N40 57T20 PDFBibTeX XMLCite \textit{V. P. Golubyatnikov}, Sov. Math., Dokl. 31, 18--20 (1985; Zbl 0604.70031); translation from Dokl. Akad. Nauk SSSR 280, 27--29 (1985)
Dubrovin, B. A.; Fomenko, A. T.; Novikov, S. P. Modern geometry - methods and applications. Part 2: The geometry and topology of manifolds. Transl. from the Russian by Robert G. Burns. (English) Zbl 0565.57001 Graduate Texts in Mathematics, 104. New York etc.: Springer-Verlag. XV, 430 p. DM 158.00 (1985). MSC: 57-01 55-01 53-01 70G10 70H05 70Sxx 81T08 83F05 22E10 22E15 32Q99 53C05 53C20 53C22 53C30 53C35 53A05 55Q05 55Q15 55Q25 55M20 55M25 55Q40 55R05 55R10 55R25 55R40 57M05 57M10 57M25 57N80 57R20 57R30 57R35 57R70 57R25 37J99 37J35 37K10 37D40 53D25 58J35 58J45 58E30 PDFBibTeX XML
Sagle, Arthur A. Nonassociative algebras and invariant mechanical systems. I. (English) Zbl 0567.17001 Hadronic J. 7, 1259-1302 (1984). Reviewer: T.Ratiu MSC: 17A01 53C30 70G05 PDFBibTeX XMLCite \textit{A. A. Sagle}, Hadronic J. 7, 1259--1302 (1984; Zbl 0567.17001)
Reyman, A. G. Integrable Hamiltonian systems connected with graded Lie algebras. (English) Zbl 0554.70010 J. Sov. Math. 19, 1507-1545 (1982). MSC: 70Hxx 70E05 37J99 37J35 37K10 53D50 17B70 22E70 35R30 PDFBibTeX XMLCite \textit{A. G. Reyman}, J. Sov. Math. 19, 1507--1545 (1982; Zbl 0554.70010) Full Text: DOI
Henneaux, Marc Quantification hamiltonienne du champ de gravitation: Une nouvelle approche. (French) Zbl 0534.70013 Bull. Cl. Sci., V. Sér., Acad. R. Belg. 68, 940-971 (1982). Reviewer: K.Horneffer MSC: 70Sxx 83C45 83C05 43A85 81Q30 PDFBibTeX XMLCite \textit{M. Henneaux}, Bull. Cl. Sci., V. Sér., Acad. R. Belg. 68, 940--971 (1982; Zbl 0534.70013)
Reĭman, A. G. Integrable Hamiltonian systems connected with graded Lie algebras. (Russian) Zbl 0488.70013 Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 95, 3-54 (1980). Reviewer: M. E. Mayer MSC: 70Hxx 37J35 37K10 22E70 37J99 53D50 70E05 17B70 35R30 PDFBibTeX XMLCite \textit{A. G. Reĭman}, Zap. Nauchn. Semin. Leningr. Otd. Mat. Inst. Steklova 95, 3--54 (1980; Zbl 0488.70013) Full Text: EuDML
Mishchenko, A. S.; Fomenko, A. T. Symplectic Lie group actions. (English) Zbl 0439.58015 Algebraic topology, Proc. Symp., Aarhus 1978, Lect. Notes Math. 763, 504-538 (1979). MSC: 37J99 37J35 37K10 22E70 57S15 70G10 74-XX PDFBibTeX XML
Ol’shanetskij, M. A.; Perelomov, A. M. Quantum systems related to root systems, and radial parts of Laplace operators. (English) Zbl 0407.43012 Funct. Anal. Appl. 12, 121-128 (1978). MSC: 43A85 70H05 PDFBibTeX XMLCite \textit{M. A. Ol'shanetskij} and \textit{A. M. Perelomov}, Funct. Anal. Appl. 12, 121--128 (1978; Zbl 0407.43012) Full Text: DOI arXiv
Ol’saneckii, M. A.; Perelomov, A. M. Quantensysteme, die mit Wurzelsystemen zusammenhängen, und die Radialteile Laplacescher Operatoren. (Russian) Zbl 0388.43010 Funkts. Anal. Prilozh. 12, No. 2, 57-65 (1978). MSC: 43A85 70H05 PDFBibTeX XMLCite \textit{M. A. Ol'saneckii} and \textit{A. M. Perelomov}, Funkts. Anal. Prilozh. 12, No. 2, 57--65 (1978; Zbl 0388.43010)
Reyman, A. G. Relativistic and Galilean-invariant classical mechanical systems. (English) Zbl 0404.70008 J. Sov. Math. 8, 202-207 (1977). MSC: 70G99 22E70 PDFBibTeX XMLCite \textit{A. G. Reyman}, J. Sov. Math. 8, 202--207 (1977; Zbl 0404.70008) Full Text: DOI
Topencharov, Vladimir V.; Cheshankov, Bozhidar; B”chvarov, S. Sur la cinématique des espaces linéaires. (Bulgarian. Russian, French summaries) Zbl 0309.53004 God. Vissh. Tekh. Uchebn. Zaved., Mat. 2(1965), No. 2, 43-54 (1967). MSC: 53A05 53A15 70B05 53C30 53A20 PDFBibTeX XMLCite \textit{V. V. Topencharov} et al., God. Vissh. Tekh. Uchebn. Zaved., Mat. 2, No. 2, 43--54 (1967; Zbl 0309.53004)
Lie, S. Founding an invariant theory of the contact transformations. (Begründung einer Invariantentheorie der Berührungs-Transformationen.) (German) JFM 06.0092.01 Clebsch Ann. VIII, 215-303 (1875). Reviewer: Mayer, Prof. (Leipzig) MSC: 26B10 53A55 13A50 53-02 53D10 15A04 35F20 35Q58 58A17 20B05 40A30 70F07 03F07 22F30 PDFBibTeX XMLCite \textit{S. Lie}, Math. Ann. 8, 215--303 (1875; JFM 06.0092.01) Full Text: DOI EuDML