35 citations · 258 across the 39 of their papers we have counts for
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Upper bounds on the first eigenvalue for a diffusion operator via Bakry-Émery Ricci curvature II
Jia-Yong Wu
Let be a symmetric diffusion operator with an invariant measure on a complete Riemannian manifold. In this paper we prove Li-Yau gradient est…
Differential Harnack inequalities for nonlinear heat equations with potentials under the Ricci flow
Jia-Yong Wu
We prove several differential Harnack inequalities for positive solutions to nonlinear backward heat equations with different potentials coupled with the Ricci flow. We also derive…
Some extensions of the mean curvature flow in Riemannian manifolds
Jia-Yong Wu
Given a family of smooth immersions of closed hypersurfaces in a locally symmetric Riemannian manifold with bounded geometry, moving by the mean cur…
First eigenvalue of the -Laplace operator along the Ricci flow
Jia-Yong Wu, Er-Min Wang, Yu Zheng
In this paper, we mainly investigate continuity, monotonicity and differentiability for the first eigenvalue of the -Laplace operator along the Ricci flow on closed manifolds. W…
Relating diameter and mean curvature for Riemannian submanifolds
Jia-Yong Wu, Yu Zheng
Given an -dimensional closed connected Riemannian manifold smoothly isometrically immersed in an -dimensional Riemannian manifold , we estimate the diameter of in…