Compact spacelike surfaces whose mean curvature function satisfies a nonlinear inequality in a 3-dimensional Generalized Robertson-Walker spacetime
Differential Geometry
2014-09-09 v1
Abstract
Spacelike surfaces in Generalized Robertson-Walker spacetimes whose mean curvature function satisfies a natural nonlinear inequality are analyzed. Several uniqueness and nonexistence results for such compact spacelike surfaces are proved. In the nonparametric case, new Calabi-Bernstein type problems are solved as a consequence.
Cite
@article{arxiv.1409.1991,
title = {Compact spacelike surfaces whose mean curvature function satisfies a nonlinear inequality in a 3-dimensional Generalized Robertson-Walker spacetime},
author = {Alfonso Romero and Rafael M. Rubio},
journal= {arXiv preprint arXiv:1409.1991},
year = {2014}
}