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

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2011, 2011(Special): 155-162. doi: 10.3934/proc.2011.2011.155

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

Matthias Bergner ^1, and Lars Schäfer ^1,

1.	Institut für Differentialgeometrie, Leibniz Universität Hannover, Welfengarten 1, 30167 Hannover, Germany, Germany

Received June 2010 Revised March 2011 Published October 2011

Abstract
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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.

Citation: Matthias Bergner, Lars Schäfer. Time-like surfaces of prescribed anisotropic mean curvature in Minkowski space. Conference Publications, 2011, 2011 (Special) : 155-162. doi: 10.3934/proc.2011.2011.155

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