The structure of weakly stable constant mean curvature hypersurfaces

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概要

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• We study the global behavior of weakly stable constant mean curvature hypersurfaces in a Riemannian manifold by using harmonic function theory. In particular, a complete oriented weakly stable minimal hypersurface in the Euclidean space must have only one end. Any complete noncompact weakly stable hypersurface with constant mean curvature $H$ in the 4 and 5 dimensional hyperbolic spaces has only one end under some restrictions on $H$.

• 東北大学の論文

著者

• Cheng Xu

  Instituto De Matematica Universidade Federal Fluminense-uff

• CHEUNG Leung-fu

  Department of Mathematics, The Chinese University of Hong Kong

• Cheung Leung-fu

  Department Of Mathematics The Chinese University Of Hong Kong

• Zhou Detang

  Instituto de Matematica, Universidade Federal Fluminense-UFF

• Zhou Detang

  Instituto De Matematica Universidade Federal Fluminense-uff

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• The structure of weakly stable constant mean curvature hypersurfaces

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