Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2021, Volume 197, Pages 117–123
DOI: https://doi.org/10.36535/0233-6723-2021-197-117-123 (Mi into868) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Isometry groups of foliated manifolds

A. S. Sharipov

National University of Uzbekistan named after Mirzo Ulugbek
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DOI: https://doi.org/10.36535/0233-6723-2021-197-117-123
Abstract: In this paper, we study the group of isometries of foliated manifolds. We prove that there is a foliation for which there exists an element of the isometry group of the foliated manifold, which is not an element of the isometry group.
Keywords: foliation, diffeomorphism of foliated manifold, $F$-compactly open topology, isometry group of a foliated manifold.
Document Type: Article
UDC: 514.763.23
MSC: 58K45, 17B66, 32S65
Language: Russian
Citation: A. S. Sharipov, “Isometry groups of foliated manifolds”, Geometry and topology, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 197, VINITI, Moscow, 2021, 117–123
Citation in format AMSBIB
\Bibitem{Sha21}
\by A.~S.~Sharipov
\paper Isometry groups of foliated manifolds
\inbook Geometry and topology
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 197
\pages 117--123
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into868}
\crossref{https://doi.org/10.36535/0233-6723-2021-197-117-123}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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