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
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
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
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 Link
Berge, Eirik; Grong, Erlend On \(\operatorname{G}_2\) and sub-Riemannian model spaces of step and rank three. (English) Zbl 1471.53031 Math. Z. 298, No. 3-4, 1853-1885 (2021). MSC: 53C17 × 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
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
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
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
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
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
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
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
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
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
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
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
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
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
Castro, Alex L.; Howard, Wyatt C. A monster tower approach to Goursat multi-flags. (English) Zbl 1262.58003 Differ. Geom. Appl. 30, No. 5, 405-427 (2012). Reviewer: Marian Ioan Munteanu (Iaşi) MSC: 58A30 58A17 58K50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Hochgerner, Simon Chaplygin systems associated to Cartan decompositions of semi-simple Lie groups. (English) Zbl 1196.37103 Differ. Geom. Appl. 28, No. 4, 436-453 (2010). Reviewer: Mircea Crâşmăreanu (Iaşi) MSC: 37J60 37J15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Borisov, A. V.; Mamaev, I. S. Conservation laws, hierarchy of dynamics and explicit integration of nonholonomic systems. (English) Zbl 1229.70038 Regul. Chaotic Dyn. 13, No. 5, 443-490 (2008). MSC: 70F25 70E18 70E40 37J60 × 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