A geometrical correspondence between maximal surfaces in anti-De Sitter space-time and minimal surfaces in ${\mathbb{H}}^2\times \mathbb{R}$

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.

13 pages, 2 figures

References in corpus (1)

• Associate and conjugate minimal immersions in MxR