most citedManifolds with weighted Poincaré inequality and uniqueness of minimal hypersurfaces

6 citations · 8 across the 2 of their papers we have counts for

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math.DG2008★ 6 cited

Manifolds with weighted Poincaré inequality and uniqueness of minimal hypersurfaces

Xu Cheng, Detang Zhou

In this paper, we obtain results on rigidity of complete Riemannian manifolds with weighted Poincaré inequality. As an application, we prove that if is a complete $\frac{n-2}{n…

math.DG2007★ 2 cited

Stability properties for the higher dimensional catenoid in $\rr^{n+1}$

Luen-Fei Tam, Detang Zhou

This paper concerns some stability properties of higher dimensional catenoids in $\rr^{n+1}$ with . We prove that higher dimensional catenoids have index one. We use -st…