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arXiv · 1112.3936

Spacelike surfaces with free boundary in the Lorentz-Minkowski space

Rafael López·Juncheol Pyo
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Abstract

We investigate a variational problem in the Lorentz-Minkowski space $ł^3$ 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 $ł^{n+1}$.

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Rafael López, Juncheol Pyo. 2011-12-16. Spacelike surfaces with free boundary in the Lorentz-Minkowski space. https://doi.org/10.1088/0264-9381%2F29%2F3%2F035005

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