Maximal Surfaces In a Certain 3-Dimensional Homogeneous Spacetime

Document Type

Article

Publication Date

10-1-2008

Department

Mathematics

School

Mathematics and Natural Sciences

Abstract

A generalized integral representation formula for spacelike maximal surfaces in a certain 3-dimensional homogeneous spacetime is obtained. This spacetime has a solvable Lie group structure with left invariant metric. The normal Gauß map of maximal surfaces in the homogeneous spacetime is discussed and the harmonicity of the normal Gauß map is studied. © 2008 Elsevier B.V. All rights reserved.

Publication Title

Differential Geometry and its Application

Volume

26

Issue

5

First Page

536

Last Page

543

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