| Height Estimates for Spacelike Hypersurfaces with Constant $k$-Mean Curvature in GRW Spacetimes |
| Received:September 05, 2016 Revised:December 09, 2016 |
| Key Words:
height estimates generalized Robertson-Walker spacetimes spacelike hypersurface higher order mean curvature
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| Fund Project:Supported by the National Natural Science Foundation of China (Grant No.11371076). |
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| Abstract: |
| In this paper, using the generalized Omori-Yau maximum principle, we obtain height estimates for spacelike hypersurface in a generalized Robertson-Walker (GRW) spacetime with constant higher order mean curvature and whose boundary is contained in a slice. Furthermore, we apply these results to draw some topological conclusions. Finally, considering the Omori-Yau maximum principle for the Laplacian and for more general elliptic trace type differential operators, we have some further non-existence results. |
| Citation: |
| DOI:10.3770/j.issn:2095-2651.2017.05.001 |
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