An Isoperimetric-Type Inequality for Spacelike Submanifold in the Minkowski Space

Author:

Tsai Chung-Jun1,Wang Kai-Hsiang2

Affiliation:

1. Department of Mathematics, National Taiwan University, Taipei 10617, Taiwan

2. National Center for Theoretical Sciences, Mathematics Division, National Taiwan University, Taipei 10617, Taiwan

Abstract

Abstract We prove an isoperimetric-type inequality for maximal, spacelike submanifold in the Minkowski space. The argument is based on the recent work of Brendle.

Funder

Taiwan Ministry of Science and Technology grants

Publisher

Oxford University Press (OUP)

Subject

General Mathematics

Reference10 articles.

1. Björling problem for maximal surfaces in Lorentz–Minkowski space;Alías;Math. Proc. Cambridge Philos. Soc.,2003

2. A proof of a general isoperimetric inequality for surfaces;Barbosa;Math. Z.,1978

3. The isoperimetric inequality for a minimal submanifold in euclidean space;Brendle

4. Elliptic PDE’s in probability and geometry: symmetry and regularity of solutions;Cabré;Discrete Contin. Dyn. Syst.,2008

5. Isoperimetric Inequalities of Minimal Submanifolds;Choe,2005

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