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 203, Pages 62–70
DOI: https://doi.org/10.36535/0233-6723-2021-203-62-70 (Mi into930) 		 
Left-invariant contact metric structures and connections on Thurston group manifolds

V. I. Panzhenskii, O. P. Surina

Penza State University
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DOI: https://doi.org/10.36535/0233-6723-2021-203-62-70
Abstract: This paper is a review of results concerning the existence of left-invariant contact metric structures and connections on the Thurston group manifolds $Nil$ and $Sol$. The concept of a linear connection consistent with a distribution is introduced.
Keywords: contact structure, metric, connection, Lie group.
Document Type: Article
UDC: 514.763
MSC: 53B21
Language: Russian
Citation: V. I. Panzhenskii, O. P. Surina, “Left-invariant contact metric structures and connections on Thurston group manifolds”, Geometry, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 203, VINITI, Moscow, 2021, 62–70
Citation in format AMSBIB
\Bibitem{PanSur21}
\by V.~I.~Panzhenskii, O.~P.~Surina
\paper Left-invariant contact metric structures and connections on Thurston group manifolds
\inbook Geometry
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2021
\vol 203
\pages 62--70
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into930}
\crossref{https://doi.org/10.36535/0233-6723-2021-203-62-70}
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