A SHARP HEIGHT ESTIMATE FOR COMPACT HYPERSURFACES WITH CONSTANT k-MEAN CURVATURE IN WARPED PRODUCT SPACES

作者：Garcia Martinez Sandra C^*; Impera Debora; Rigoli Marco

来源：Proceedings of the Edinburgh Mathematical Society, 2015, 58(2): 403-419.

DOI：10.1017/S0013091514000157

• height estimates
• constant mean curvature
• higher-order mean curvatures
• warped products

In this paper we obtain a sharp height estimate concerning compact hypersurfaces immersed into warped product spaces with some constant higher-order mean curvature and whose boundary is contained in a slice. We apply these results to draw topological conclusions at the end of the paper.

• 出版日期2015-6