Communications in Analysis and Geometry

Volume 18 (2010)

Number 2

Rigidity theorems on hemispheres in non-positive space forms

Pages: 339 – 363



Lan-Hsuan Huang (Department of Mathematics, Columbia University)

Damin Wu (Department of Mathematics, The Ohio State University)


We study the curvature condition which uniquelycharacterizes the hemisphere. In particular, we prove theMin-Oo conjecture for hypersurfaces in Euclidean space andhyperbolic space.

Published 1 January 2010