74 citations · 267 across the 68 of their papers we have counts for
28 papers · 1 filter
Matrix Li-Yau-Hamilton estimates under Ricci Flow and parabolic frequency
Xiaolong Li, Qi S. Zhang
In this paper we prove matrix Li-Yau-Hamilton estimates for positive solutions to the heat equation and the backward conjugate heat equation, both coupled with the Ricci flow. We t…
A Sharp Li-Yau gradient bound on Compact Manifolds
Qi S. Zhang
Let $(\M^n, g)$ be a dimensional, complete ( compact or noncompact) Riemannian manifold whose Ricci curvature is bounded from below by a constant . Let be a posit…
A note on convergence of noncompact nonsingular solutions of the Ricci flow
Qi S Zhang
We extend some convergence results on nonsingular compact Ricci flows in the papers \cite{Ha:1}, \cite{Se:1} and \cite{FZZ:2} to certain infinite volume noncompact cases which are…
Gradient and Eigenvalue Estimates on the canonical bundle of Kähler manifolds
Zhiqin Lu, Qi S. Zhang, Meng Zhu
We prove certain gradient and eigenvalue estimates, as well as the heat kernel estimates, for the Hodge Laplacian on forms, i.e., sections of the canonical bundle of Kähler…
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.
Minimizers of the sharp Log entropy on manifolds with non-negative Ricci curvature and flatness
Qi S Zhang
Consider the scaling invariant, sharp log entropy (functional) introduced by Weissler \cite{W:1} on noncompact manifolds with nonnegative Ricci curvature. It can also be regarded a…