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JOURNALS // Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory // Archive
Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 2019 Volume 170, Pages 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

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.

UDC: 517.956.226

MSC: 35J15

DOI: 10.36535/0233-6723-2019-170-31-37



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