Complete non-compact spacelike hypersurfaces of constant mean curvature in de Sitter spaces

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概要

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• We use the half-space model for the open set of a de Sitter space associated to the steady state space to obtain some sharp a priori estimates for the height and the slope of certain constant mean curvature spacelike graphs. These estimates allow us to prove some existence and uniqueness theorems about complete non-compact constant mean curvature spacelike hypersurfaces in de Sitter spaces with prescribed asymptotic future boundary. Their geometric properties are studied.

• 一般社団法人 日本数学会の論文
• 2003-10-01

著者

• Montiel Sebastian

  Departamento de Geometria y Topologia Universidad de Granada

関連論文

• Complete non-compact spacelike hypersurfaces of constant mean curvature in de Sitter spaces
• A characterization of hyperbolic cylinders in the de Sitter space

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