2003•Mathematica ApplicataRequires access

Complete Spacelike Hypersurfaces in S_1~(n+1) (1) with Constant Mean Curvature and Nonnegative Sectional Curvature

Yun Zhang

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Abstract

Let M be an n dimensional completely non compact spacelike hypersurface in de Sitter space S n+1 1(1) with constant mean curvature and nonnegative sectional curvature,it is isometric to a hyperbolc cylender or Euclidean space under some conditions.

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What this paper is about

Let M be an n dimensional completely non compact spacelike hypersurface in de Sitter space S n+1 1(1) with constant mean curvature and nonnegative sectional curvature,it is isometric to a hyperbolc cylender or Euclidean space under some conditions.

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Available abstract

Let M be an n dimensional completely non compact spacelike hypersurface in de Sitter space S n+1 1(1) with constant mean curvature and nonnegative sectional curvature,it is isometric to a hyperbolc cylender or Euclidean space under some conditions.

Key concepts: Sectional curvature, Mean curvature, Mathematics, Hypersurface, Curvature, Mathematical analysis, De Sitter space, Constant (computer programming)

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Complete Spacelike Hypersurfaces in S_1~(n+1) (1) with Constant Mean Curvature and Nonnegative Sectional Curvature — Research Paper | ScholarLens