26 citations · 177 across the 51 of their papers we have counts for
6 papers · 2 filters
Zhong-Yang type eigenvalue estimate with integral curvature condition
Xavier Ramos Olivé, Shoo Seto, Guofang Wei +1
We prove a sharp Zhong-Yang type eigenvalue lower bound for closed Riemannian manifolds with control on integral Ricci curvature.
Improved relative volume comparison for integral Ricci curvature and applications to volume entropy
Lina Chen, Guofang Wei
We give several Bishop-Gromov relative volume comparisons with integral Ricci curvature which improve the results in \cite{PW1}. Using one of these volume comparisons, we derive an…
Maximal volume entropy rigidity for spaces
Chris Connell, Xianzhe Dai, Jesús Núñez-Zimbrón +3
For -dimensional Riemannian manifolds with Ricci curvature bounded below by , the volume entropy is bounded above by . If is compact, it is known that the e…
Reilly-type inequalities for -Laplacian on submanifolds in space forms
Hang Chen, Guofang Wei
Let be an -dimensional closed orientable submanifold in an -dimensional space form. When , we obtain an upper bound for the first nonzero eigenvalue…
Fundamental gap estimate for convex domains on sphere -- the case
Xianzhe Dai, Shoo Seto, Guofang Wei
In [SWW16, HW17] it is shown that the difference of the first two eigenvalues of the Laplacian with Dirichlet boundary condition on convex domain with diameter of sphere $\math…
Rigidity of minimal submanifolds in space forms
Hang Chen, Guofang Wei
In this paper, we consider the rigidity for an -dimensional submanfolds with parallel mean curvature in the space form when the integral Ricc…