Topological and Differential Invariants of Singularities of Contact Structure on a Three-Dimensional Manifold

Arias, F.A; Malakhaltsev, M.

Topological and Differential Invariants of Singularities of Contact Structure on a Three-Dimensional Manifold

datacite.rights	http://purl.org/coar/access_right/c_abf2	spa
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.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	Pdf
dc.format.mimetype	application/pdf	spa
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.doi	10.1134/S1995080220120070
dc.identifier.instname	Universidad Tecnológica de Bolívar	spa
dc.identifier.reponame	Repositorio Universidad Tecnológica de Bolívar	spa
dc.identifier.uri	https://hdl.handle.net/20.500.12585/12265
dc.language.iso	eng	spa
dc.publisher.place	Cartagena de Indias	spa
dc.publisher.sede	Campus Tecnológico	spa
dc.rights.accessrights	info:eu-repo/semantics/openAccess	spa
dc.rights.cc	Attribution-NonCommercial-NoDerivatives 4.0 Internacional	*
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.subject.keywords	$G$-structure with singularities	spa
dc.subject.keywords	Contact structure	spa
dc.subject.keywords	Sub-Riemannian structure	spa
dc.title	Topological and Differential Invariants of Singularities of Contact Structure on a Three-Dimensional Manifold	spa
dc.type.driver	info:eu-repo/semantics/article	spa
dc.type.hasversion	info:eu-repo/semantics/draft	spa
dc.type.spa	http://purl.org/coar/resource_type/c_6501	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
oaire.resourcetype	http://purl.org/coar/resource_type/c_2df8fbb1	spa
oaire.version	http://purl.org/coar/version/c_b1a7d7d4d402bcce	spa

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