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

Francico Torralbo

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

Differential Geometry 2014-07-22 v1

Authors: Francico Torralbo

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

maximal surfaces minimal surfaces anti-De Sitter space-time hyperbolic plane Riemannian product geometrical correspondence

Cite

@article{arxiv.1407.5423,
  title  = {A geometrical correspondence between maximal surfaces in anti-De Sitter space-time and minimal surfaces in $\mathbb{H}^2\times \mathbb{R}$},
  author = {Francico Torralbo},
  journal= {arXiv preprint arXiv:1407.5423},
  year   = {2014}
}

Comments

13 pages, 2 figures

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