Minimal maps between the hyperbolic discs and generalized Gauss maps ofmaximal surfaces in the anti-de sitter 3-space

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概要

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• Problems related to minimal maps are studied. In particular, we prove an existence result for the Dirichlet problem at infinity for minimal diffeomorphisms between the hyperbolic discs. We also give a representation formula for a minimal diffeomorphism between the hyperbolic discs by means of the generalized Gauss map of a complete maximal surface in the anti-de Sitter 3-space.

• 東北大学の論文

著者

• Aiyama Reiko

  Institute Of Mathematics University Oftsukuba

• Aiyama Reiko

  Institute Of Mathematics University Of Tsukuba

• Akutagawa Kazuo

  Department of Mathematics, Shizuoka University

• Wan Tom

  Department ofMathematics, The Chinese University of HongKong

• Wan Tom

  Department Of Mathematics Chinese University Of Hong Kong

• Wan Tom

  Department Ofmathematics The Chinese University Of Hongkong

• Akutagawa Kazuo

  Department Of Mathematics Faculty Of Science Kyushu University

関連論文

• Complete space-like hypersurfaces with constant mean curvature in a Lorentz space form of dimension 4.
• Minimal maps between the hyperbolic discs and generalized Gauss maps ofmaximal surfaces in the anti-de sitter 3-space
• Kenmotsu type representation formula for surfaces with prescribed mean curvature in the 3-sphere
• The generalized Gauss map of a space-like submanifold with parallel mean curvature vector in a pseudo-Euclidean space
• The Gauss map and spacelike surfaces with prescribed mean curvature in Minkowski 3-space
• Images of harmonic maps with symmetry
• Kenmotsu type representation formula for surfaces with prescribed mean curvature in the hyperbolic 3-space
• A note on spacelike hypersurfaces with prescribed mean curvature in a spatially closed globally static Lorentzian manifold
• Notes on the relative Yamabe invariant

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