Compact spacelike surfaces whose mean curvature function satisfies a nonlinear inequality in a 3-dimensional Generalized Robertson-Walker spacetime

摘要

Spacelike surfaces in Generalized Robertson-Walker spacetimes whose meancurvature function satisfies a natural nonlinear inequality are analyzed.Several uniqueness and nonexistence results for such compact spacelike surfacesare proved. In the nonparametric case, new Calabi-Bernstein type problems aresolved as a consequence.