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This article is cited in 3 scientific papers (total in 3 papers)
Geometry and topology
Analytic embedding of some two-dimensional geometries of maximal mobility
V. A. Kyrov Gorno-Altaiisk State University, 1, Lenkina str., Gorno-Altaisk, 649000, Russia
Abstract:
In this paper, we solve the problem of embedding two-dimensional geometries: simplicial, dual-gelmgoltz, Helmholtz proper and pseudohelmholtz, into three-dimensional geometries. This problem is solved by an analytical method. The functions defining these geometries are found. Basic operators of Lie algebras of groups of motions are calculated.
Keywords:
geometry of maximum mobility, Lie transformation group, functional equation, differential equation, Lie algebra.
Received August 26, 2018, published June 28, 2019
Citation:
V. A. Kyrov, “Analytic embedding of some two-dimensional geometries of maximal mobility”, Sib. Èlektron. Mat. Izv., 16 (2019), 916–937
Linking options:
https://www.mathnet.ru/eng/semr1103 https://www.mathnet.ru/eng/semr/v16/p916
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