Spacelike surfaces of constant mean curvature with free boundary in the Minkowski space

Details Spacelike surfaces of constant mean curvature with free boundary in the Minkowski space Spacelike surfaces of constant mean curvature with free boundary in the Minkowski space

Apr 1999

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1999cqgra..16.1323a&link_type=abstract

Classical and Quantum Gravity, Volume 16, Issue 4, pp. 1323-1331 (1999).

Physics

4

Scientific paper

In this paper we introduce a variational problem for spacelike surfaces in the Minkowski space whose critical points turn out to be constant mean curvature spacelike surfaces which intersect a given support surface at a constant hyperbolic angle. In the case where the support surface is either a spacelike plane or a hyperbolic plane we prove that the only such surfaces are the planar discs (with zero mean curvature) and the hyperbolic caps (with non-zero constant mean curvature). We also include some additional discussions on this variational problem for the general n-dimensional case.

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