Spacelike hypersurfaces of constant higher order mean curvature in generalized Robertson-Walker spacetimes

作者：Alias Luis J^*; Impera Debora; Rigoli Marco

来源：Mathematical Proceedings of the Cambridge Philosophical Society, 2012, 152: 365-383.

DOI：10.1017/S0305004111000697

In this paper we analyse the problem of uniqueness for spacelike hypersurfaces with constant higher order mean curvature in generalized Robertson-Walker spacetimes. We consider first the case of compact spacelike hypersurfaces, completing some previous results given in [2]. We next extend these results to the complete noncompact case. In that case, our approach is based on the use of a generalized version of the Omori-Yau maximum principle for trace type differential operators, recently given by the authors in [3].

• 出版日期2012-3