It is well-known that immersions with constant mean curvature in real space forms are solutions for the variational problem of minimizing the area functional while keeping null balance of volume. A local solution for this variational problem is said to be stable.

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Stable Closed Spacelike Hypersurfaces in the de Sitter Space

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

摘要

It is well-known that immersions with constant mean curvature in real space forms are solutions for the variational problem of minimizing the area functional while keeping null balance of volume. A local solution for this variational problem is said to be stable.