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A geometrical correspondence between maximal surfaces in anti-De Sitter space-time and minimal surfaces in H2×R

Article ID Journal Published Year Pages File Type
6418036 Journal of Mathematical Analysis and Applications 2015 11 Pages PDF
Abstract

A geometrical correspondence between maximal surfaces in anti-De Sitter space-time and minimal surfaces in the Riemannian product of the hyperbolic plane and the real line is established. New examples of maximal surfaces in anti-De Sitter space-time are obtained in order to illustrate this correspondence.

Keywords
Minimal surfacesHomogeneous spacesSinh-Gordon equationHarmonic mapsGauss map
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Preview
A geometrical correspondence between maximal surfaces in anti-De Sitter space-time and minimal surfaces in H2×R
Authors
Francisco Torralbo,
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Journal
Journal of Mathematical Analysis and Applications
Journal: Journal of Mathematical Analysis and Applications
Related Categories
Minimal surfaces
Homogeneous spaces
Sinh-Gordon equation
Harmonic maps
Gauss map
Algebra and Number Theory
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