3 papers
dg-ga1997
A Bernstein theorem for complete spacelike constant mean curvature hypersurfaces in Minkowski space
Huai-Dong Cao, Ying Shen, Shunhui Zhu
We obtain a gradient estimate for the Gauss maps from complete spacelike constant mean curvature hypersurfaces in Minkowski space into the hyperbolic space. As applications, we pro…
dg-ga1997
Ricci curvature, minimal surfaces and sphere theorems
Ying Shen, Shunhui Zhu
Using an analogue of Myers' theorem for minimal surfaces and three dimensional topology, we prove the diameter sphere theorem for Ricci curvature in dimension three and a correspon…
dg-ga1997
The structure of stable minimal hypersurfaces in R^n
Huai-Dong Cao, Ying Shen, Shunhui Zhu
We provide a new topological obstruction for complete stable minimal hypersurfaces in R^n. For , we prove that any complete orientable stable hypersurfaces in R^n has only…