2 papers
math.DG2022
Li-Yau gradient estimates on closed manifolds under bakry-emery ricci curvature conditions
Xingyu Song, Ling Wu
In this paper, motivated by the work of Qi S. Zhang in [28], we derive Li-Yau gradient bounds for positive solutions of the f-heat equation on closed manifolds with Bakry-Emery Ric…
math.DG2021
Eigenvalue estimates for Beltrami-Laplacian under Bakry-Émery Ricci curvature condition
Ling Wu, Xingyu Song, Meng Zhu
On closed Riemannian manifolds with Bakry-Émery Ricci curvature bounded from below and bounded gradient of the potential function, we obtain lower bounds for all positive eigenvalu…