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Time-like surfaces of prescribed anisotropic mean curvature in Minkowski space

Pages: 155 - 162, Issue Special, September 2011

 Abstract        Full Text (305.9K)              

Matthias Bergner - Institut für Differentialgeometrie, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany (email)
Lars Schäfer - Institut für Differentialgeometrie, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany (email)

Abstract: Solving an initial value problem for a hyperbolic system, we prove existence and uniqueness of time-like immersions of prescribed anisotropic mean curvature into Minkowski space $\mathbb{R}^(2,1)$ subject to geometric initial conditions.

Keywords:  time-like surface, prescribed mean curvature, Minkowski space
Mathematics Subject Classification:  Primary: 53B30, 53A35; Secondary: 35L51

Received: June 2010;      Revised: March 2011;      Published: October 2011.