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<p>We consider surfaces on the pseudo-Helmholtz, proper Helmholtz, and dual Helmholtz Lie groups.These groups are united under the common term: Helmholtz-type groups.The Dirac, Weingarten, and Codazzi equations in the spinor representation are derived.The energy functional on&#xa0;these groups is studied.</p>

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Surfaces on Helmholtz-Type Groups

  • 期刊论文

  • 发表日期：

    2025年9月30日

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  • V. A. Kyrov

摘要

We consider surfaces on the pseudo-Helmholtz, proper Helmholtz, and dual Helmholtz Lie groups.These groups are united under the common term: Helmholtz-type groups.The Dirac, Weingarten, and Codazzi equations in the spinor representation are derived.The energy functional on these groups is studied.