Stable complete noncompact hypersurfaces with constant mean curvature

Research output: Contribution to journalArticlepeer-review

2 Citations (Scopus)


This article concerns the structure of complete noncompact stable hypersurfaces Mn with constant mean curvature H > 0 in a complete noncompact oriented Riemannian manifold Nn+1. In particular, we show that a complete noncompact stable constant mean curvature hypersurface Mn, n = 5, 6, in the Euclidean space must have only one end. Any such hypersurface in the hyperbolic space with, respectively, has only one end.

Original languageEnglish
Pages (from-to)161-190
Number of pages30
JournalAnnals of Global Analysis and Geometry
Issue number2
Publication statusPublished - 2009 Jul


  • Constant mean curvature
  • Hyperbolic space
  • Nonparabolic end
  • Parabolic end
  • Stable hypersurface

ASJC Scopus subject areas

  • Analysis
  • Political Science and International Relations
  • Geometry and Topology


Dive into the research topics of 'Stable complete noncompact hypersurfaces with constant mean curvature'. Together they form a unique fingerprint.

Cite this