On the Group of Foliation Isometries

dc.contributor.author	Narmanov, A.Yu.
dc.contributor.author	Sharipov, A.S.
dc.date.accessioned	2010-02-02T13:32:51Z
dc.date.available	2010-02-02T13:32:51Z
dc.date.issued	2009
dc.identifier.citation	On the Group of Foliation Isometries / A.Ya. Narmanov, A.S. Sharipov // Methods of Functional Analysis and Topology. — 2009. — Т. 15, № 2. — С. 195-200. — Бібліогр.: 10 назв. — англ.	uk_UA
dc.identifier.issn	1029-3531
dc.identifier.uri	http://dspace.nbuv.gov.ua/handle/123456789/5705
dc.description.abstract	The purpose of our paper is to introduce some topology on the group GrF(M) of all Cr-isometries of foliated manifold (M, F), which depends on a foliation F and coincides with compact-open topology when F is an n-dimensional foliation. If the codimension of F is equal to n, convergence in our topology coincides with pointwise convergence, where n = dimM. It is proved that the group GrF(M) is a topological group with compact-open topology, where r ≥ 0. In addition it is showed some properties of F-compact-open topology.	uk_UA
dc.language.iso	en	uk_UA
dc.publisher	Інститут математики НАН України	uk_UA
dc.title	On the Group of Foliation Isometries	uk_UA
dc.type	Article	uk_UA
dc.status	published earlier	uk_UA