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Topological and Differential Invariants of Singularities of Contact Structure on a Three-Dimensional Manifold
| dc.contributor.author | Arias, F.A | |
| dc.contributor.author | Malakhaltsev, M. | |
| dc.date.accessioned | 2023-07-21T15:35:23Z | |
| dc.date.available | 2023-07-21T15:35:23Z | |
| dc.date.issued | 2020-12 | |
| dc.date.submitted | 2023-07 | |
| dc.identifier.citation | Arias, F.A., Malakhaltsev, M. Topological and Differential Invariants of Singularities of Contact Structure on a Three-Dimensional Manifold. Lobachevskii J Math 41, 2415–2426 (2020). https://doi.org/10.1134/S1995080220120070 | spa |
| dc.identifier.uri | https://hdl.handle.net/20.500.12585/12265 | |
| dc.description.abstract | A contact structure on a three-dimensional manifold is a two-dimensional distribution on this manifold which satisfies the condition of complete non-integrability. If the distribution fails to satisfy this condition at points of some submanifold, we have a contact structure with singularities. The singularities of contact structures were studied by J. Martinet, B. Jakubczyk and M. Zhitomirskii. We consider a contact structure with singularities as a G-structure with singularities, we find some topological and differential invariants of singularities of contact structure and establish their relation to the invariants found by B. Jakubczyk and M. Zhitomirskii. © 2020, Pleiades Publishing, Ltd. | spa |
| dc.format.medium | 12 páginas | |
| dc.format.medium | ||
| dc.format.mimetype | application/pdf | spa |
| dc.language.iso | eng | spa |
| dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/4.0/ | * |
| dc.source | Lobachevskii Journal of Mathematics - Vol. 41 No.2 (2020) | spa |
| dc.title | Topological and Differential Invariants of Singularities of Contact Structure on a Three-Dimensional Manifold | spa |
| dcterms.bibliographicCitation | Martinet, J. Sur les singularités des formes différentielles (1970) Ann. Inst. Fourier (Grenoble), 20, pp. 95-178. Cited 98 times. | spa |
| dcterms.bibliographicCitation | Jakubczyk, B., Zhitomirskii, M. Local reduction theorems and invariants for singular contact structures (2001) Annales de l'Institut Fourier, 51 (1), pp. 237-295. Cited 8 times. http://annalif.ujf-grenoble.fr/ doi: 10.5802/aif.1823 | spa |
| dcterms.bibliographicCitation | Arteaga B., J.R., Malakhaltsev, M.A. Symmetries of sub-Riemannian surfaces (2011) Journal of Geometry and Physics, 61 (1), pp. 290-308. Cited 5 times. doi: 10.1016/j.geomphys.2010.09.024 | spa |
| dcterms.bibliographicCitation | Arias Amaya, F.A., Malakhaltsev, M. Topological Invariants of Principal G-Bundles with Singularities (Open Access) (2018) Lobachevskii Journal of Mathematics, 39 (5), pp. 623-633. http://www.springer.com/math/journal/12202 doi: 10.1134/S1995080218050013 | spa |
| dcterms.bibliographicCitation | Kobayashi, S., Nomizu, K. (1996) Foundations of Differential Geometry, Wiley Classics Library, 1. Cited 6637 times. (Wiley, New York,), Vol | spa |
| dcterms.bibliographicCitation | Montgomery, R. A Tour of Subriemannian Geometries, Their Geodesics and Applications (2002) Of Mathematical Surveys and Monographs, 91. Cited 514 times. AMS, Providence | spa |
| datacite.rights | http://purl.org/coar/access_right/c_abf2 | spa |
| oaire.version | http://purl.org/coar/version/c_b1a7d7d4d402bcce | spa |
| dc.type.driver | info:eu-repo/semantics/article | spa |
| dc.type.hasversion | info:eu-repo/semantics/draft | spa |
| dc.identifier.doi | 10.1134/S1995080220120070 | |
| dc.subject.keywords | $G$-structure with singularities | spa |
| dc.subject.keywords | Contact structure | spa |
| dc.subject.keywords | Sub-Riemannian structure | spa |
| dc.rights.accessrights | info:eu-repo/semantics/openAccess | spa |
| dc.rights.cc | Attribution-NonCommercial-NoDerivatives 4.0 Internacional | * |
| dc.identifier.instname | Universidad Tecnológica de Bolívar | spa |
| dc.identifier.reponame | Repositorio Universidad Tecnológica de Bolívar | spa |
| dc.publisher.place | Cartagena de Indias | spa |
| dc.type.spa | http://purl.org/coar/resource_type/c_6501 | spa |
| dc.publisher.sede | Campus Tecnológico | spa |
| oaire.resourcetype | http://purl.org/coar/resource_type/c_2df8fbb1 | spa |
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