4 papers
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…
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…
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…
On the geometry and topology of manifolds of positive bi-Ricci curvature
Ying Shen, Rugang Ye
We introduce some new curvature quantities such as conformal Ricci curvature and bi-Ricci curvature and extend the classical Myers theorem under these new curvature conditions. Mor…