Stable constant mean curvature hypersurfaces in the real projective space

DOI10.1007/s00229-006-0038-2zbMath1111.53010OpenAlexW2104282036MaRDI QIDQ863444

Luis J. Alías, Oscar M. Perdomo, Aldir Brasil Junior

Publication date: 26 January 2007

Published in: Manuscripta Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00229-006-0038-2

zbMATH Keywords

constant mean curvaturegeodesic sphereconstant scalar curvatureClifford hypersurfaceweakly stablecompact two-sided hypersurface

Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global submanifolds (53C40) Projective differential geometry (53A20)

Related Items (3)

Stability index jump for constant mean curvature hypersurfaces of spheres ⋮ Isoperimetry and volume preserving stability in real projective spaces ⋮ Some half-space theorems in the real projective space

Cites Work

• Stability of hypersurfaces of constant mean curvature in Riemannian manifolds
• Stable constant mean curvature tori and the isoperimetric problem in three space forms
• Eigenvalue and ``twisted eigenvalue problems, applications to CMC surfaces
• Compact minimal hypersurfaces with index one in the real projective space
• Le spectre d'une variété riemannienne. (The spectrum of a Riemannian manifold)
• Familles de surfaces isoparametriques dans les espaces à courbure constante

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