Merker, Joël; Nurowski, Paweł Homogeneous CR and Para-CR structures in dimensions 5 and 3. (English) Zbl 1531.35029 J. Geom. Anal. 34, No. 1, Paper No. 27, 50 p. (2024). MSC: 35B06 22E05 32G07 32V05 32V35 32V40 34A26 34C14 53A15 53A55 53B25 58A15 × Cite Format Result Cite Review PDF Full Text: DOI
Draper, Cristina; Palomo, Francisco J. Reductive homogeneous spaces of the compact Lie group \(G_2\). (English) Zbl 1537.22050 Albuquerque, Helena (ed.) et al., Non-associative algebras and related topics. NAART II. Selected papers based on the presentations at the 2nd conference, Coimbra, Portugal, July 18–22, 2022. Cham: Springer. Springer Proc. Math. Stat. 427, 29-63 (2023). MSC: 22F30 17B25 53C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hwang, Jun-Muk; Li, Qifeng Lines on holomorphic contact manifolds and a generalization of \((2,3,5)\)-distributions to higher dimensions. (English) Zbl 1523.58004 Nagoya Math. J. 251, 652-668 (2023). Reviewer: Oleg K. Zakusilo (Kyïv) MSC: 58A30 32Q99 53D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bor, Gil; Hernández Lamoneda, Luis Dancing polygons, rolling balls, and the Cartan-Engel distribution. (English) Zbl 1545.53013 New York J. Math. 29, 981-1015 (2023). Reviewer: Gabriela Cristescu (Arad) MSC: 53A20 53A40 53A55 37J60 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Randall, Matthew Local equivalence of some maximally symmetric rolling distributions and \(SU(2)\) Pfaffian systems. (English) Zbl 1526.53024 Hokkaido Math. J. 52, No. 1, 97-128 (2023). Reviewer: Yousuke Ohyama (Tokushima) MSC: 53C15 53C18 53D10 58A15 58A30 70E18 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kawamata, Masahiro; Shibuya, Kazuhiro On a generalization of Monge-Ampère equations and Monge-Ampère systems. (English) Zbl 1518.58003 Tokyo J. Math. 46, No. 1, 193-212 (2023). MSC: 58A15 58A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Noda, Takahiro Contact geometry of third-order partial differential equations with two independent variables. (English) Zbl 1514.58004 Osaka J. Math. 60, No. 2, 385-402 (2023). Reviewer: Savin Treanţă (Bucureşti) MSC: 58A15 58A17 53D99 × Cite Format Result Cite Review PDF Full Text: Link
Randall, Matthew A Monge normal form for the rolling distribution. (English) Zbl 1511.53041 Proc. Am. Math. Soc. 151, No. 2, 853-863 (2023). MSC: 53C18 58A15 34A25 53Z30 34C20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agrachev, Andrei; Nurowski, Paweł Ants and bracket generating distributions in dimensions 5 and 6. (English) Zbl 1512.70018 Automatica 147, Article ID 110693, 10 p. (2023). Reviewer: Mikhail I. Krastanov (Sofia) MSC: 70F25 70G65 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dinh, Tien-Cuong (ed.); Marinescu, George (ed.); Tosatti, Valentino (ed.); Wulcan, Elizabeth (ed.) Complex geometry and dynamical systems. Abstracts from the workshop held September 4–10, 2022. (English) Zbl 1520.00026 Oberwolfach Rep. 19, No. 3, 2335-2397 (2022). MSC: 00B05 00B25 32-06 37-06 37F44 × Cite Format Result Cite Review PDF Full Text: DOI
Sachkov, Yu. L. Sub-Riemannian Cartan sphere. (English. Russian original) Zbl 1539.53041 Dokl. Math. 106, No. 3, 462-466 (2022); translation from Dokl. Ross. Akad. Nauk, Mat. Inform. Protsessy Upr. 507, 66-70 (2022). MSC: 53C17 × Cite Format Result Cite Review PDF Full Text: DOI
Dave, Shantanu; Haller, Stefan Graded hypoellipticity of BGG sequences. (English) Zbl 1504.58015 Ann. Global Anal. Geom. 62, No. 4, 721-789 (2022). Reviewer: Luigi Rodino (Torino) MSC: 58J40 58A30 58A14 58J10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Haller, Stefan Analytic torsion of generic rank two distributions in dimension five. (English) Zbl 1501.58017 J. Geom. Anal. 32, No. 10, Paper No. 248, 66 p. (2022). Reviewer: Jean Raimbault (Marseille) MSC: 58J52 53C17 58A30 58J10 58J42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bor, Gil; Makhmali, Omid; Nurowski, Paweł Para-Kähler-Einstein \(4\)-manifolds and non-integrable twistor distributions. (English) Zbl 1500.53032 Geom. Dedicata 216, No. 1, Paper No. 9, 48 p. (2022). Reviewer: Renato G. Bettiol (New York) MSC: 53C10 53C15 58A30 58A15 53C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Randall, Matthew Nurowski’s conformal class of a maximally symmetric \((2,3,5)\)-distribution and its Ricci-flat representatives. (English) Zbl 1497.53144 J. Nonlinear Math. Phys. 28, No. 1, 1-13 (2021). MSC: 53E20 34M55 34A05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hwang, Jun-Muk; Li, Qifeng Unbendable rational curves of Goursat type and Cartan type. (English. French summary) Zbl 1484.30049 J. Math. Pures Appl. (9) 155, 1-31 (2021). MSC: 30F99 14H99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sachkov, Yu. L. Conjugate time in the sub-Riemannian problem on the Cartan group. (English) Zbl 1484.53063 J. Dyn. Control Syst. 27, No. 4, 709-751 (2021). Reviewer: Peibiao Zhao (Nanjing) MSC: 53C17 93C15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Manno, Gianni; Nurowski, Paweł; Sagerschnig, Katja The geometry of marked contact Engel structures. (English) Zbl 1490.53093 J. Geom. Anal. 31, No. 8, 7686-7708 (2021). Reviewer: Jun Zhang (Montréal) MSC: 53D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishikawa, Goo; Kitagawa, Yumiko; Tsuchida, Asahi; Yukuno, Wataru Duality of \((2,3,5)\)-distributions and Lagrangian cone structures. (English) Zbl 1470.58005 Nagoya Math. J. 243, 303-315 (2021). MSC: 58A30 53A55 53C17 53A20 70F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Austin, Alex D. The contact mappings of a flat \((2,3,5)\)-distribution. (English) Zbl 1493.53103 Ann. Global Anal. Geom. 60, No. 1, 143-156 (2021). MSC: 53D10 53C30 22E25 58A30 17B99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Howe, P. S.; Lindström, U. Superconformal geometries and local twistors. (English) Zbl 1462.83031 J. High Energy Phys. 2021, No. 4, Paper No. 140, 31 p. (2021). MSC: 83C60 83E50 81T60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Calderbank, David M. J.; Kruglikov, Boris Integrability via geometry: dispersionless differential equations in three and four dimensions. (English) Zbl 1464.35006 Commun. Math. Phys. 382, No. 3, 1811-1841 (2021). MSC: 35A30 37K10 35G50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kruglikov, Boris; Santi, Andrea; The, Dennis \(G(3)\)-supergeometry and a supersymmetric extension of the Hilbert-Cartan equation. (English) Zbl 1457.17013 Adv. Math. 376, Article ID 107420, 99 p. (2021). MSC: 17B25 17B56 58A50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Howe, P. S.; Lindström, U. Local supertwistors and conformal supergravity in six dimensions. (English) Zbl 1472.83062 Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. 476, No. 2243, Article ID 20200683, 15 p. (2020). MSC: 83C60 83E50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Randall, Matthew Schwarz triangle functions and duality for certain parameters of the generalised Chazy equation. (English) Zbl 1466.34078 N. Z. J. Math. 50, 181-205 (2020). Reviewer: Mykola Grygorenko (Kyïv) MSC: 34M15 33C05 × Cite Format Result Cite Review PDF Full Text: arXiv
Doubrov, Boris; Medvedev, Alexandr; The, Dennis Homogeneous integrable Legendrian contact structures in dimension five. (English) Zbl 1462.53070 J. Geom. Anal. 30, No. 4, 3806-3858 (2020). MSC: 53D10 35A30 53B15 22E46 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Marini, Stefano; Medori, Costantino; Nacinovich, Mauro On some classes of \(\mathbb{Z}\)-graded Lie algebras. (English) Zbl 1498.17048 Abh. Math. Semin. Univ. Hamb. 90, No. 1, 45-71 (2020). MSC: 17B70 17B20 17B22 53B05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Eastwood, Michael; Nurowski, Paweł Aerobatics of flying saucers. (English) Zbl 1446.53062 Commun. Math. Phys. 375, No. 3, 2335-2365 (2020). Reviewer: Benjamin McKay (Cork) MSC: 53D10 53Z05 32L99 58A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mormul, Piotr; Pelletier, Fernand Symmetries of special 2-flags. (English) Zbl 1442.58002 J. Singul. 21, 187-204 (2020). MSC: 58A30 58A15 58K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dave, Shantanu; Haller, Stefan The heat asymptotics on filtered manifolds. (English) Zbl 1434.58010 J. Geom. Anal. 30, No. 1, 337-389 (2020). MSC: 58J37 58J35 58A30 58J20 58J40 58J42 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ehlers, Kurt M.; Koiller, Jair Cartan meets Chaplygin. (English) Zbl 1474.37076 Theor. Appl. Mech. (Belgrade) 46, No. 1, 15-46 (2019). MSC: 37J60 53D15 70F25 70G45 70H45 × Cite Format Result Cite Review PDF Full Text: DOI
Noda, Takahiro; Shibuya, Kazuhiro Type-changing PDE and singularities of Monge characteristic systems. (English) Zbl 1479.35578 Shoda, Toshihiro (ed.) et al., Differential geometry and Tanaka theory. Differential system and hypersurface theory. Proceedings of the international conference, RIMS, Kyoto University, Japan, January, 24–28, 2011. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 82, 57-73 (2019). Reviewer: Jakob Hultgren (Washington) MSC: 35N10 35M10 × Cite Format Result Cite Review PDF Full Text: DOI Euclid
Bryant, Robert L.; Eastwood, Michael G.; Gover, A. Rod.; Neusser, Katharina Some differential complexes within and beyond parabolic geometry. (English) Zbl 1453.53014 Shoda, Toshihiro (ed.) et al., Differential geometry and Tanaka theory. Differential system and hypersurface theory. Proceedings of the international conference, RIMS, Kyoto University, Japan, January, 24–28, 2011. Tokyo: Mathematical Society of Japan. Adv. Stud. Pure Math. 82, 13-40 (2019). Reviewer: Ion Mihai (Bucureşti) MSC: 53A40 53D10 58A12 58A17 58J10 58J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
Kumpera, A. Group invariance of integrable Pfaffian systems. (English) Zbl 1429.58007 Ann. Mat. Pura Appl. (4) 198, No. 5, 1863-1884 (2019). MSC: 58A17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Willse, Travis Homogeneous real \((2,3,5)\) distributions with isotropy. (English) Zbl 1501.58001 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 008, 28 p. (2019). Reviewer: Ion Mihai (Bucureşti) MSC: 58A30 53C15 53C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Goze, Michel; Remm, Elisabeth Coadjoint orbits of Lie algebras and Cartan class. (English) Zbl 1448.17014 SIGMA, Symmetry Integrability Geom. Methods Appl. 15, Paper 002, 20 p. (2019). Reviewer: Benjamin Cahen (Metz) MSC: 17B20 17B30 53D10 53D05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dave, Shantanu; Haller, Stefan On 5-manifolds admitting rank two distributions of Cartan type. (English) Zbl 1419.58004 Trans. Am. Math. Soc. 371, No. 7, 4911-4929 (2019). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58A30 58J20 53A40 53C23 53C27 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, Woocheol; Ponge, Raphaël Tangent maps and tangent groupoid for Carnot manifolds. (English) Zbl 1410.53034 Differ. Geom. Appl. 62, 136-183 (2019). MSC: 53C17 22E25 53C25 58H05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choi, Woocheol; Ponge, Raphaël Privileged coordinates and nilpotent approximation of Carnot manifolds. I: General results. (English) Zbl 1410.53033 J. Dyn. Control Syst. 25, No. 1, 109-157 (2019). MSC: 53C17 43A85 22E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kumpera, Antonio Automorphisms of flag systems. (English) Zbl 1404.58007 J. Differ. Equations 266, No. 2-3, 911-935 (2019). MSC: 58A15 34A26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Vassiliou, Peter J. Cascade linearization of invariant control systems. (English) Zbl 1409.53019 J. Dyn. Control Syst. 24, No. 4, 593-623 (2018). MSC: 53A55 58A17 58A30 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Willse, Travis Cartan’s incomplete classification and an explicit ambient metric of holonomy \(\mathrm G_2^\ast\). (English) Zbl 1403.53045 Eur. J. Math. 4, No. 2, 622-638 (2018). Reviewer: Iakovos Androulidakis (Athína) MSC: 53C29 58A30 58A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Bettiol, P.; Bonnard, B.; Rouot, J. Optimal strokes at low Reynolds number: a geometric and numerical study of copepod and purcell swimmers. (English) Zbl 1391.49032 SIAM J. Control Optim. 56, No. 3, 1794-1822 (2018). MSC: 49K15 53C17 93B27 93C10 70Q05 49M05 49J15 49N20 × Cite Format Result Cite Review PDF Full Text: DOI
Julg, Pierre; van Erp, Erik The geometry of the osculating nilpotent group structures of the Heisenberg calculus. (English) Zbl 1393.53025 J. Lie Theory 28, No. 1, 107-138 (2018). Reviewer: Iakovos Androulidakis (Athína) MSC: 53C17 58A99 22E25 58H99 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Bor, Gil; Hernández Lamoneda, Luis; Nurowski, Pawel The dancing metric, \(G_2\)-symmetry and projective rolling. (English) Zbl 1387.53021 Trans. Am. Math. Soc. 370, No. 6, 4433-4481 (2018). Reviewer: Alexey O. Remizov (Palaiseau) MSC: 53A20 53A30 53A40 53A55 53C26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hazboun, Jeffrey S. Constructing an explicit AdS/CFT correspondence with Cartan geometry. (English) Zbl 1382.81147 Nucl. Phys., B 929, 254-265 (2018). MSC: 81T20 81T40 81V17 53A30 83E15 81T13 17B81 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
An, Daniel; Nurowski, Paweł Symmetric (2,3,5) distributions, an interesting ODE of 7th order and Plebański metric. (English) Zbl 1387.34017 J. Geom. Phys. 126, 93-100 (2018). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 34A26 34C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
The, Dennis Exceptionally simple PDE. (English) Zbl 1391.58014 Differ. Geom. Appl. 56, 13-41 (2018). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 58J70 22E46 53D10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
de Doná, J.; Tehseen, N.; Vassiliou, P. J. Symmetry reduction, contact geometry, and partial feedback linearization. (English) Zbl 1378.58003 SIAM J. Control Optim. 56, No. 1, 201-230 (2018). MSC: 58A30 58A17 53A55 93C10 × Cite Format Result Cite Review PDF Full Text: DOI
Ali, Sajid; Azad, Hassan; Biswas, Indranil; Ghanam, Ryad; Mustafa, M. T. Embedding algorithms and applications to differential equations. (English) Zbl 1432.17002 J. Symb. Comput. 86, 166-188 (2018). MSC: 17-08 17B45 17B30 17B81 35A30 68W30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Taghavi-Chabert, Arman Pure spinors, intrinsic torsion and curvature in odd dimensions. (English) Zbl 1425.53091 Differ. Geom. Appl. 51, 117-152 (2017). MSC: 53C56 53C27 53C10 83C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cheviakov, Alexei F. Symbolic computation of equivalence transformations and parameter reduction for nonlinear physical models. (English) Zbl 1411.34003 Comput. Phys. Commun. 220, 56-73 (2017). MSC: 34-04 35-04 68W30 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leistner, Thomas; Nurowski, Paweł; Sagerschnig, Katja New relations between \(\mathrm G_2\) geometries in dimensions 5 and 7. (English) Zbl 1388.53015 Int. J. Math. 28, No. 13, Article ID 1750094, 46 p. (2017). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 53B15 53C15 53C29 53D99 58A15 58A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Anderson, Ian M.; Nurowski, Paweł \(\mathbf{Sp}(3,\mathbb{R})\) Monge geometries in dimension 8. (English) Zbl 1376.53024 Differ. Geom. Appl. 53, 1-55 (2017). MSC: 53A55 58A15 34A26 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leistner, Thomas; Lischewski, Andree The ambient obstruction tensor and conformal holonomy. (English) Zbl 1378.53081 Pac. J. Math. 290, No. 2, 403-436 (2017). Reviewer: Anna Fino (Torino) MSC: 53C50 53C29 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kerr, Matt; Robles, Colleen Variations of Hodge structure and orbits in flag varieties. (English) Zbl 1403.14028 Adv. Math. 315, 27-87 (2017). Reviewer: Alberto Collino (Verzuolo) MSC: 14D07 32G20 14M15 14C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sagerschnig, Katja; Willse, Travis The geometry of almost Einstein \((2,3,5)\) distributions. (English) Zbl 1372.32033 SIGMA, Symmetry Integrability Geom. Methods Appl. 13, Paper 004, 56 p. (2017). Reviewer: Zbigniew Olszak (Wrocław) MSC: 32Q20 53C25 32V05 53A30 53B35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kruglikov, Boris; The, Dennis The gap phenomenon in parabolic geometries. (English) Zbl 1359.58019 J. Reine Angew. Math. 723, 153-215 (2017). Reviewer: Hans-Peter Schröcker (Innsbruck) MSC: 58J70 53B99 22E46 17B70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blaom, Anthony D. Cartan connections on Lie groupoids and their integrability. (English) Zbl 1353.53026 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 114, 26 p. (2016). MSC: 53C05 58H05 53C07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chitour, Yacine; Godoy Molina, Mauricio; Kokkonen, Petri; Markina, Irina Rolling against a sphere: the non-transitive case. (English) Zbl 1365.53026 J. Geom. Anal. 26, No. 4, 2542-2562 (2016). Reviewer: Zhuo Chen (Beijing) MSC: 53C05 53C29 70G45 70Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Kruglikov, Boris; Lychagin, Valentin Global Lie-Tresse theorem. (English) Zbl 1347.53015 Sel. Math., New Ser. 22, No. 3, 1357-1411 (2016). MSC: 53A55 58H10 35A30 58A20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Randall, Matthew Flat \((2,3,5)\)-distributions and Chazy’s equations. (English) Zbl 1338.58004 SIGMA, Symmetry Integrability Geom. Methods Appl. 12, Paper 029, 28 p. (2016). MSC: 58A30 53A30 34A05 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kruglikov, Boris; Matveev, Vladimir; The, Dennis Submaximally symmetric \(c\)-projective structures. (English) Zbl 1336.32023 Int. J. Math. 27, No. 3, Article ID 1650022, 34 p. (2016). MSC: 32Q60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chitour, Yacine; Godoy Molina, Mauricio; Kokkonen, Petri Symmetries of the rolling model. (English) Zbl 1334.53024 Math. Z. 281, No. 3-4, 783-805 (2015). Reviewer: Witold Mozgawa (Lublin) MSC: 53C20 53C07 53A45 53A55 53C17 58A30 53B50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Ishikawa, Goo; Kitagawa, Yumiko; Yukuno, Wataru Duality on geodesics of Cartan distributions and sub-Riemannian pseudo-product structures. (English) Zbl 1322.58005 Demonstr. Math. 48, No. 2, 193-216 (2015). MSC: 58A30 37A55 53C17 49N15 49J21 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ishikawa, Goo; Kitagawa, Yumiko; Yukuno, Wataru Duality of singular paths for \((2,3,5)\)-distributions. (English) Zbl 1317.58005 J. Dyn. Control Syst. 21, No. 2, 155-171 (2015). MSC: 58A30 53A55 53C17 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biquard, Olivier From \(G_2\) geometry to quaternionic Kähler metrics. (English) Zbl 1318.53043 J. Geom. Phys. 91, 101-107 (2015). MSC: 53C26 × Cite Format Result Cite Review PDF Full Text: DOI
Anderson, Ian; Nie, Zhaohu; Nurowski, Pawel Non-rigid parabolic geometries of Monge type. (English) Zbl 1377.17012 Adv. Math. 277, 24-55 (2015). Reviewer: Viviana del Barco (Rosario) MSC: 17B20 17B70 58A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosemann, Stefan; Schöbel, Konrad Open problems in the theory of finite-dimensional integrable systems and related fields. (English) Zbl 1310.37024 J. Geom. Phys. 87, 396-414 (2015). Reviewer: William J. Satzer jun. (St. Paul) MSC: 37J05 34C20 37J35 57R30 × Cite Format Result Cite Review PDF Full Text: DOI
Tryhuk, Václav; Chrastinová, Veronika Automorphisms of ordinary differential equations. (English) Zbl 1470.34103 Abstr. Appl. Anal. 2014, Article ID 482963, 32 p. (2014). MSC: 34C14 34A26 58J70 × Cite Format Result Cite Review PDF Full Text: DOI
Doubrov, Boris; Kruglikov, Boris On the models of submaximal symmetric rank 2 distributions in 5D. (English) Zbl 1319.58003 Differ. Geom. Appl. 35, Suppl., 314-322 (2014). MSC: 58A30 58D19 17B66 58A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Baez, John C.; Huerta, John \(\mathrm{G}_{2}\) and the rolling ball. (English) Zbl 1354.20031 Trans. Am. Math. Soc. 366, No. 10, 5257-5293 (2014). MSC: 20G41 17A75 20E42 57S25 51A45 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Čap, A.; Gover, A. R.; Hammerl, M. Holonomy reductions of Cartan geometries and curved orbit decompositions. (English) Zbl 1298.53042 Duke Math. J. 163, No. 5, 1035-1070 (2014). Reviewer: Pascual Lucas Saorín (Murcia) MSC: 53C29 53B15 58J70 32V05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid
An, Daniel; Nurowski, Paweł Twistor space for rolling bodies. (English) Zbl 1296.53100 Commun. Math. Phys. 326, No. 2, 393-414 (2014). Reviewer: Adela-Gabriela Mihai (Bucureşti) MSC: 53C28 70E18 53C80 58A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Willse, Travis Highly symmetric 2-plane fields on 5-manifolds and 5-dimensional Heisenberg group holonomy. (English) Zbl 1293.53040 Differ. Geom. Appl. 33, Suppl., 81-111 (2014). Reviewer: Witold Mozgawa (Lublin) MSC: 53C15 53A30 53B15 53C26 53C29 58A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Godoy Molina, Mauricio; Grong, Erlend Geometric conditions for the existence of a rolling without twisting or slipping. (English) Zbl 1316.37037 Commun. Pure Appl. Anal. 13, No. 1, 435-452 (2014). Reviewer: Ioan Bucataru (Iaşi) MSC: 37J60 53A55 53A17 70F25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kruglikov, Boris Generalized Lie-Bäcklund theorem for Lie class overdetermined systems. (English) Zbl 1408.58028 Monatsh. Math. 171, No. 3-4, 395-414 (2013). MSC: 58J72 58J70 49J15 58A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rad’ko, O. Yu. Classification of symbols of three-dimensional vector distributions of infinite type. (Russian. English summary) Zbl 1462.17009 Tr. Inst. Mat., Minsk 20, No. 1, 83-95 (2012). MSC: 17B05 17B30 17B65 × Cite Format Result Cite Review PDF Full Text: MNR
Kruglikov, Boris Symmetry, compatibility and exact solutions of PDEs. (English) Zbl 1277.35267 Acta Appl. Math. 120, No. 1, 219-236 (2012). MSC: 35N10 58J70 35A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
del Barco, Viviana J.; Ovando, Gabriela P. Free nilpotent Lie algebras admitting ad-invariant metrics. (English) Zbl 1351.17013 J. Algebra 366, 205-216 (2012). Reviewer: Vesselin Drensky (Sofia) MSC: 17B30 17B01 17B40 22E25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kruglikov, Boris The gap phenomenon in the dimension study of finite type systems. (English) Zbl 1364.53018 Cent. Eur. J. Math. 10, No. 5, 1605-1618 (2012). MSC: 53A55 37J15 53B99 58J70 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Godoy Molina, M.; Grong, E.; Markina, I.; Silva Leite, F. An intrinsic formulation of the problem on rolling manifolds. (English) Zbl 1261.37027 J. Dyn. Control Syst. 18, No. 2, 181-214 (2012). Reviewer: Clementina Mladenova (Sofia) MSC: 37J60 53A17 70E18 70Q05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
McKay, Benjamin Rigid geometry on projective varieties. (English) Zbl 1264.32013 Math. Z. 272, No. 3-4, 761-791 (2012). Reviewer: P. E. Newstead (Liverpool) MSC: 32M05 14M17 32M10 32G10 53C15 53C10 53C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kruglikov, Boris Lie theorem via rank 2 distributions (integration of PDE of class \(\omega = 1\)). (English) Zbl 1255.35175 J. Nonlinear Math. Phys. 19, No. 2, 1250011, 24 p. (2012). Reviewer: Werner M. Seiler (Kassel) MSC: 35N99 58H10 58J72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Noda, Takahiro; Shibuya, Kazuhiro Second order type-changing equations for a scalar function on a plane. (English) Zbl 1246.35137 Osaka J. Math. 49, No. 1, 101-124 (2012). Reviewer: Benjamin McKay (Cork) MSC: 35N10 35M10 58A20 × Cite Format Result Cite Review PDF Full Text: Euclid
Valiquette, F. Equivariant moving frame method and the local equivalence of \(u _{xx } = r(x, u, v, u_{x }, v_{x })\) under fiber-preserving transformations. (English) Zbl 1241.35006 J. Dyn. Control Syst. 17, No. 4, 555-589 (2011). MSC: 35A22 53A55 58A15 35F20 × Cite Format Result Cite Review PDF Full Text: DOI
Kruglikov, Boris Laplace transformation of Lie class \(\omega = 1\) overdetermined systems. (English) Zbl 1243.35007 J. Nonlinear Math. Phys. 18, No. 4, 583-611 (2011). Reviewer: Werner M. Seiler (Kassel) MSC: 35A22 35N05 58H10 58J72 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Leitner, Felipe Aspects of conformal holonomy. (English) Zbl 1228.53065 Ebeling, Wolfgang (ed.) et al., Complex and differential geometry. Conference held at Leibniz Universität Hannover, Germany, September 14–18, 2009. Proceedings. Berlin: Springer (ISBN 978-3-642-20299-5/hbk; 978-3-642-20300-8/ebook). Springer Proceedings in Mathematics 8, 205-233 (2011). MSC: 53C29 32V05 53C25 53C20 × Cite Format Result Cite Review PDF Full Text: DOI
Anderson, Ian; Kruglikov, Boris Rank 2 distributions of Monge equations: symmetries, equivalences, extensions. (English) Zbl 1234.34010 Adv. Math. 228, No. 3, 1435-1465 (2011). Reviewer: Rutwig Campoamor-Stursberg (Madrid) MSC: 34A26 34C14 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kruglikov, Boris Finite-dimensionality in Tanaka theory. (English) Zbl 1260.58001 Ann. Inst. Henri Poincaré, Anal. Non Linéaire 28, No. 1, 75-90 (2011). MSC: 58A30 17B70 35A30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Abib, Odinette Renée Equivalence for differential equations. (English) Zbl 1248.34056 Afr. Diaspora J. Math. 9, No. 2, 82-97 (2010). MSC: 34C41 58A17 58H05 34C20 × Cite Format Result Cite Review PDF Full Text: arXiv Euclid
Cheaito, Mohamad H.; Zeineddine, Hassan Abnormal curves on the Goursat systems of \(\mathbb{R}^{n}\). (English) Zbl 1221.58004 Int. J. Math. Math. Sci. 2010, Article ID 315754, 8 p. (2010). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58A30 58A17 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Yamaguchi, Keizo Contact geometry of second order. I. (English) Zbl 1187.58003 Kruglikov, Boris (ed.) et al., Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Berlin: Springer (ISBN 978-3-642-00872-6/hbk; 978-3-642-00873-3/ebook). Abel Symposia 5, 335-386 (2009). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58A15 35G20 × Cite Format Result Cite Review PDF Full Text: DOI Link
Anderson, Ian M.; Fels, Mark E. Transformations of Darboux integrable systems. (English) Zbl 1183.37107 Kruglikov, Boris (ed.) et al., Differential equations – Geometry, symmetries and integrability. The Abel symposium 2008. Proceedings of the fifth Abel symposium, Tromsø, Norway, June 17–22, 2008. Berlin: Springer (ISBN 978-3-642-00872-6/hbk; 978-3-642-00873-3/ebook). Abel Symposia 5, 21-48 (2009). MSC: 37K10 37K35 37K30 × Cite Format Result Cite Review PDF Full Text: DOI
Shibuya, Kazuhiro; Yamaguchi, Keizo Drapeau theorem for differential systems. (English) Zbl 1182.58003 Differ. Geom. Appl. 27, No. 6, 793-808 (2009). Reviewer: Nicolai K. Smolentsev (Kemerovo) MSC: 58A30 53C15 58A15 58A20 14M15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Čap, Andreas; Neusser, Katharina On automorphism groups of some types of generic distributions. (English) Zbl 1190.58004 Differ. Geom. Appl. 27, No. 6, 769-779 (2009). Reviewer: Anna Fino (Torino) MSC: 58A30 53A30 53C10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Čap, Andreas; Sagerschnig, Katja On Nurowski’s conformal structure associated to a generic rank two distribution in dimension five. (English) Zbl 1172.53014 J. Geom. Phys. 59, No. 7, 901-912 (2009). Reviewer: Joseph D. Zund (Las Cruces) MSC: 53A30 53A40 53B15 53C50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Alonso Blanco, R.; Manno, Gianni; Pugliese, Fabrizio Contact relative differential invariants for non generic parabolic Monge-Ampère equations. (English) Zbl 1154.35004 Acta Appl. Math. 101, No. 1-3, 5-19 (2008). Reviewer: Boris S. Kruglikov (Tromsø) MSC: 35A30 35K55 53A55 58A20 53D10 × Cite Format Result Cite Review PDF Full Text: DOI
Koiller, Jair; Ehlers, Kurt Rubber rolling over a sphere. (English) Zbl 1229.37089 Regul. Chaotic Dyn. 12, No. 2, 127-152 (2007). MSC: 37J60 70F25 58A15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Agrachev, A. A. Rolling balls and octonions. (English. Russian original) Zbl 1153.70010 Proc. Steklov Inst. Math. 258, 13-22 (2007); translation from Tr. Mat. Inst. Steklova 258, 17-27 (2007). MSC: 70F25 70E18 70H33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv