English

Higher order mean curvature estimates for bounded complete hypersurfaces

Differential Geometry 2013-01-17 v1

Abstract

We obtain sharp estimates involving the mean curvatures of higher order of a complete bounded hypersurface immersed in a complete Riemannian manifold. Similar results are also given for complete spacelike hypersurfaces in Lorentzian ambient spaces.

Keywords

Cite

@article{arxiv.1301.3705,
  title  = {Higher order mean curvature estimates for bounded complete hypersurfaces},
  author = {L. J. Alias and M. Dajczer and M. Rigoli},
  journal= {arXiv preprint arXiv:1301.3705},
  year   = {2013}
}
R2 v1 2026-06-21T23:10:25.341Z