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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.DG2008★ 9 cited
Maximum principle for viscosity solutions on Riemannian manifolds
Shige Peng, Detang Zhou
In this work we consider viscosity solutions to second order partial differential equations on Riemannian manifolds. We prove maximum principles for solutions to Dirichlet problem…