Symmetries of sub-Riemannian surfaces

dc.contributor.author	Arteaga J.
dc.contributor.author	Malakhaltsev M.
dc.date.accessioned	2018-09-18T20:09:22Z
dc.date.available	2018-09-18T20:09:22Z
dc.date.issued	2011
dc.identifier.issn	0393-0440
dc.identifier.uri	https://dspace.kpfu.ru/xmlui/handle/net/137067
dc.description.abstract	We obtain some results on symmetries of sub-Riemannian surfaces. In case of a contact sub-Riemannian surface we base on invariants found by Hughen [15]. Using these invariants, we find conditions under which a sub-Riemannian surface does not admit symmetries. If a surface admits symmetries, we show how invariants help to find them. It is worth noting, that the obtained conditions can be explicitly checked for a given contact sub-Riemannian surface. Also, we consider sub-Riemannian surfaces which are not contact and find their invariants along the surface where the distribution fails to be contact. © 2010 Elsevier B.V.
dc.relation.ispartofseries	Journal of Geometry and Physics
dc.subject	Equivalence method
dc.subject	G-structures
dc.subject	Nonholonomic mechanics
dc.subject	Sub-Riemannian geometry
dc.subject	Vakonomic dynamics
dc.title	Symmetries of sub-Riemannian surfaces
dc.type	Article
dc.relation.ispartofseries-issue	1
dc.relation.ispartofseries-volume	61
dc.collection	Публикации сотрудников КФУ
dc.relation.startpage	290
dc.source.id	SCOPUS03930440-2011-61-1-SID77958132508

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Коллекция содержит публикации сотрудников Казанского федерального (до 2010 года Казанского государственного) университета, проиндексированные в БД Scopus, начиная с 1970г.