On a new class of embedded hypersurfaces in with nonzero constant mean curvature

DOI10.1515/ADVGEOM.2007.027zbMath1129.53008OpenAlexW2054545987MaRDI QIDQ5421655

J. Guadalupe Reyes, Oscar Palmas, Victor Cruz

Publication date: 24 October 2007

Published in: advg (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/advgeom.2007.027

zbMATH Keywords

vector fielddifferential equationmean curvaturegroupnormal vector\(O(m) \times O(n)\)-invariant hypersurfaces

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10) Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42)

Related Items

Deformations of free boundary CMC hypersurfaces ⋮ Parabolic hypersurfaces with constant mean curvature in Euclidean space

Cites Work

• Stability of \(O(p+1) \times O(p+1)\)-invariant hypersurfaces with zero scalar curvature in Euclidean space
• New examples of constant mean curvature immersions of (2k-1)-spheres into euclidean 2k-space
• \(O(m) \times O(n)\)-invariant minimal hypersurfaces in \(\mathbb R^{m+n}\)
• Minimal cones and the Bernstein problem
• Minimal Hypersurfaces of R 2m Invariant by SO(m) × SO(m)

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