A geometrical correspondence between maximal surfaces in anti-De Sitter space time and minimal surfaces in H-2 x R

作者：Torralbo Francisco^*

来源：Journal of Mathematical Analysis and Applications, 2015, 423(2): 1660-1670.

DOI：10.1016/j.jmaa.2014.10.067

• Minimal surfaces
• Harmonic maps
• Gauss map
• Sinh-Gordon equation
• Anti-De Sitter space-time
• Homogeneous spaces

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.

• 出版日期2015-3-15