Rigidity theorems on hemispheres in non-positive space forms
Differential Geometry
2010-10-19 v2 Analysis of PDEs
Abstract
We study the curvature condition which uniquely characterizes the hemisphere. In particular, we prove the Min-Oo conjecture for hypersurfaces in Euclidean space and hyperbolic space.
Keywords
Cite
@article{arxiv.0907.5549,
title = {Rigidity theorems on hemispheres in non-positive space forms},
author = {Lan-Hsuan Huang and Damin Wu},
journal= {arXiv preprint arXiv:0907.5549},
year = {2010}
}
Comments
20 pages. Typos corrected and added in proof. Appeared in Comm. Anal. Geom