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Please use this identifier to cite or link to this item: http://hdl.handle.net/10481/33114

Title: Stationary bands in three-dimensional Minkowski space
Authors: López Camino, Rafael
Issue Date: 2009
Abstract: In this paper we consider a free boundary problem for spacelike surfaces in the 3-dimensional Lorentz-Minkowski space L3 whose energy functional involves the area of a surface and a timelike potential. The critical points of this energy for any volume-preserving admissible variation are spacelike surfaces supported in a plane and whose mean curvature is a linear function of the time coordinate. In this paper, we consider those surfaces that are invariant in a parallel coordinate to the support plane. We call these surfaces stationary bands. We establish existence of such surfaces and we investigate their qualitative properties. Finally, we give estimates of its size in terms of the initial data.
Sponsorship: Partially supported by MEC-FEDER grant no. MTM2007-61775 and Junta de Andalucia grant no. P06-FQM-01642.
Publisher: Osaka/Osaka-City Universities. Departments of Mathematics
Keywords: Lorentz manifolds
Manifolds with indefinite metrics
Minimal surfaces
Surfaces with prescribed mean curvature
URI: http://hdl.handle.net/10481/33114
ISSN: 0030-6126
Rights : Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License
Citation: López Camino, R. Stationary bands in three-dimensional Minkowski space. Osaka Journal of Mathematics, 46(1): 1-20 (2009). [http://hdl.handle.net/10481/33114]
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