Spacelike surfaces with free boundary in the Lorentz-Minkowski space

Details Spacelike surfaces with free boundary in the Lorentz-Minkowski space Spacelike surfaces with free boundary in the Lorentz-Minkowski space

2011-12-16

arxiv.org/abs/1112.3936v1

Mathematics

Differential Geometry

16 pages. Accepted in Classical and Quantum Gravity

Scientific paper

We investigate a variational problem in the Lorentz-Minkowski space $\l^3$ whose critical points are spacelike surfaces with constant mean curvature and making constant contact angle with a given support surface along its common boundary. We show that if the support surface is a pseudosphere, then the surface is a planar disc or a hyperbolic cap. We also study the problem of spacelike hypersurfaces with free boundary in the higher dimensional Lorentz-Minkowski space $\l^{n+1}$.

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