30 citations · 143 across the 34 of their papers we have counts for
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math.DG2012★ 11 cited
Eigenvalue estimate and compactness for closed -minimal surfaces
Xu Cheng, Tito Mejia, Detang Zhou
Let be a bounded domain with convex boundary in a complete noncompact Riemannian manifold with Bakry-Émery Ricci curvature bounded below by a positive constant. We prove a lowe…
math.DG2012★ 8 cited
Stability and compactness for complete -minimal surfaces
Xu Cheng, Tito Mejia, Detang Zhou
Let be a complete metric measure space with Bakry-Émery Ricci curvature bounded below by a positive constant. We prove that, in , there is no complete tw…
math.DG2012★ 9 cited
Rigidity for nearly umbilical hypersurfaces in space forms
Xu Cheng, Detang Zhou
Perez proved some inequalities for closed convex hypersurfaces immersed in the Euclidean space , more generally, for closed hypersurfaces with non-negative…