Stable constant mean curvature hypersurfaces in \(\mathbb R^{n+1}\) and \(\mathbb H^{n+1}(-1)\)

DOI10.1007/S00574-005-0030-6zbMath1078.53057OpenAlexW2006664705MaRDI QIDQ1778116

Detang Zhou, Leung-Fu Cheung

Publication date: 16 June 2005

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-005-0030-6

zbMATH Keywords

constant mean curvatureBernstein theoremisometric immersionstable hypersurface

Mathematics Subject Classification ID

Differential geometry of immersions (minimal, prescribed curvature, tight, etc.) (53C42) Global Riemannian geometry, including pinching (53C20)

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The complete hyper-surfaces with zero scalar curvature in \(\mathbb{R}^{n+1}\) ⋮ Caccioppoli's inequalities on constant mean curvature hypersurfaces in Riemannian manifolds

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