This article is cited in 1 paper

Surfaces on the pseudo-Helmholtz group

V. A. Kyrov

Gorno-Altaisk State University

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.

UDC: 514.765

MSC: 53C35

Received: 29.05.2024
Revised: 12.06.2024

DOI: 10.4213/mzm14390

 English version: Mathematical Notes, 2025, 117:2, 300–308

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