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Matematicheskie Zametki, 2025, Volume 117, Issue 2, Pages 285–294
DOI: https://doi.org/10.4213/mzm14390 (Mi mzm14390) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Surfaces on the pseudo-Helmholtz group

V. A. Kyrov

Gorno-Altaisk State University
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DOI: https://doi.org/10.4213/mzm14390
Abstract: Surfaces on the pseudo-Helmholtz Lie group are studied. The Dirac, Weingarten, and Codazzi equations are derived. The minimal surfaces of this group are investigated, and the energy functional is derived.
Keywords: Lie group, surface on a Lie group, Dirac equation, Weingarten equation, Codazzi equation.
Received: 29.05.2024
Revised: 12.06.2024
Published: 13.05.2025
English version:
Mathematical Notes, 2025, Volume 117, Issue 2, Pages 300–308
DOI: https://doi.org/10.1134/S0001434625010274
Bibliographic databases:
Document Type: Article
UDC: 514.765
MSC: 53C35
Language: Russian
Citation: V. A. Kyrov, “Surfaces on the pseudo-Helmholtz group”, Mat. Zametki, 117:2 (2025), 285–294; Math. Notes, 117:2 (2025), 300–308
Citation in format AMSBIB
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\by V.~A.~Kyrov
\paper Surfaces on the pseudo-Helmholtz group
\jour Mat. Zametki
\yr 2025
\vol 117
\issue 2
\pages 285--294
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\crossref{https://doi.org/10.4213/mzm14390}
\mathscinet{https://mathscinet.ams.org/mathscinet-getitem?mr=4908573}
\transl
\jour Math. Notes
\yr 2025
\vol 117
\issue 2
\pages 300--308
\crossref{https://doi.org/10.1134/S0001434625010274}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-105007240296}
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    • This publication is cited in the following 1 articles:
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