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The notion of stability concerning hypersurfaces of constant mean curvature in Riemannian ambient spaces was first studied by Barbosa and do Carmo and Barbosa, do Carmo and Eschenburg, where they proved that spheres are the only stable critical points of the area functional for volume-preserving variations.

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A Notion of Stability to Closed Hypersurfaces in the Hyperbolic Space

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  • 发表日期：

    2025年

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  • Henrique Fernandes de Lima,
  • Giovanni Molica Bisci,
  • Marco Antonio Lázaro Velásquez

摘要

The notion of stability concerning hypersurfaces of constant mean curvature in Riemannian ambient spaces was first studied by Barbosa and do Carmo and Barbosa, do Carmo and Eschenburg, where they proved that spheres are the only stable critical points of the area functional for volume-preserving variations.