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, 2019, Volume 170, Pages 31–37
DOI: https://doi.org/10.36535/0233-6723-2019-170-31-37 (Mi into522) 		 
On properties of Riemannian metrics associated with $B$-elliptic operators

M. V. Polovinkinaa, I. P. Polovinkinb

a Voronezh State University of Engineering Technologies
b Voronezh State University
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DOI: https://doi.org/10.36535/0233-6723-2019-170-31-37
Abstract: In this paper, we consider a Riemannian metric in which the Laplace–Beltrami operator coincides with a $B$-elliptic operator up to a factor.
Keywords: $B$-elliptic operator, Riemannian metric, Laplace–Beltrami operator, isometry group, Killing conditions, Lobachevsky geometry.
Bibliographic databases:
Document Type: Article
UDC: 517.956.226
MSC: 35J15
Language: Russian
Citation: M. V. Polovinkina, I. P. Polovinkin, “On properties of Riemannian metrics associated with $B$-elliptic operators”, Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part 1, Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 170, VINITI, Moscow, 2019, 31–37
Citation in format AMSBIB
\Bibitem{PolPol19}
\by M.~V.~Polovinkina, I.~P.~Polovinkin
\paper On properties of Riemannian metrics associated with $B$-elliptic operators
\inbook Proceedings of the Voronezh Winter Mathematical School "Modern Methods of Function Theory and Related Problems." January 28 – February 2, 2019. Part~1
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2019
\vol 170
\pages 31--37
\publ VINITI
\publaddr Moscow
\mathnet{http://mi.mathnet.ru/into522}
\crossref{https://doi.org/10.36535/0233-6723-2019-170-31-37}
\elib{https://elibrary.ru/item.asp?id=42458662}
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