Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898917 | Journal of Geometry and Physics | 2007 | 9 Pages |
Abstract
Consider the Plateau problem for spacelike surfaces with constant mean curvature in three-dimensional Lorentz–Minkowski space L3L3 and spanning two circular axially symmetric contours in parallel planes. In this paper, we prove that rotational symmetric surfaces are the only solutions. We also give a result on uniqueness of spacelike surfaces of revolution with constant mean curvature as solutions of the exterior Dirichlet problem under a certain hypothesis at infinity.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Rafael López,