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, 2020, Volume 182, Pages 3–9
DOI: https://doi.org/10.36535/0233-6723-2020-182-3-9 (Mi into665) 		 
Geometry of linear algebras

I. M. Burlakov

Tver State University
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DOI: https://doi.org/10.36535/0233-6723-2020-182-3-9
Abstract: In this paper, we consider spaces whose geometry is generated by a homogeneous function of degree $m\geq 2$ invariant under the action of some subgroup of the linear group of the given space. A general method is proposed and examples of realization of such spaces on linear algebras are given.
Keywords: fundamental form, motion group, linear algebra, vector bundle.
Bibliographic databases:
Document Type: Article
UDC: 514.76
MSC: 15А66, 15А69, 16S38
Language: Russian
Citation: I. M. Burlakov, “Geometry of linear algebras”, Proceedings of the International Conference "Classical and Modern Geometry" Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev. Moscow, April 22-25, 2019. Part 4, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 182, VINITI, Moscow, 2020, 3–9
Citation in format AMSBIB
\Bibitem{Bur20}
\by I.~M.~Burlakov
\paper Geometry of linear algebras
\inbook Proceedings of the International Conference "Classical and Modern Geometry"
Dedicated to the 100th Anniversary of the Birth of Professor Vyacheslav Timofeevich Bazylev.
Moscow, April 22-25, 2019. Part 4
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 182
\pages 3--9
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into665}
\crossref{https://doi.org/10.36535/0233-6723-2020-182-3-9}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4208393}
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