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 177, Pages 10–23
DOI: https://doi.org/10.36535/0233-6723-2020-177-10-23 (Mi into594) 		 
Geodesic vectors and flat totally geodesic subalgebras in nilpotent metric Lie algebras

A. Al-Abayechi, Á. Figula

Institute of Mathematics, University of Debrecen
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DOI: https://doi.org/10.36535/0233-6723-2020-177-10-23
Abstract: We determine geodesics and flat totally geodesic subalgebras in higher-step nilpotent metric Lie algebras of dimension $5$. It is surprising that in nonfiliform metric Lie algebras with one-dimensional center, the geodesic vectors and flat totally geodesic subalgebras are independent of the choice of the inner product.
Keywords: nilpotent metric Lie algebra, geodesic vector, nonfiliform metric Lie algebras, flat totally geodesic subalgebras, inner product.
Funding agency Grant number
European Science Foundation EFOP-3.6.1-16-2016-00022
This paper is supported by the EFOP-3.6.1-16-2016-00022 project. The project is co-financed by the European Union and the European Social Fund.
Document Type: Article
UDC: 512.554.3
MSC: 17B60
Language: Russian
Citation: A. Al-Abayechi, Á. Figula, “Geodesic vectors and flat totally geodesic subalgebras in nilpotent metric Lie algebras”, Algebra, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 177, VINITI, Moscow, 2020, 10–23
Citation in format AMSBIB
\Bibitem{Al-Fig20}
\by A.~Al-Abayechi, \'A.~Figula
\paper Geodesic vectors and flat totally geodesic subalgebras in nilpotent metric Lie algebras
\inbook Algebra
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2020
\vol 177
\pages 10--23
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into594}
\crossref{https://doi.org/10.36535/0233-6723-2020-177-10-23}
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