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According to Barbosa and do Carmo and Barbosa et al. any compact hypersurface \(\Sigma ^n\) with constant mean curvature (CMC) in a Riemannian manifold \(\overline {M}^{\,n+1}\) is a solution of the variational problem of minimizing the area functional for volume-preserving variations.

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Bifurcation of \(H_2\) -Hypersurfaces in Riemannian Warped Products

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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

According to Barbosa and do Carmo and Barbosa et al. any compact hypersurface \(\Sigma ^n\) with constant mean curvature (CMC) in a Riemannian manifold \(\overline {M}^{\,n+1}\) is a solution of the variational problem of minimizing the area functional for volume-preserving variations.