3 papers
math.DG2026
Positive Bakry-Émery Ricci Curvature on Homotopy Spheres
Wen-Qi Li
Wei and Wylie asked whether a complete weighted manifold with nonnegative Bakry--Émery Ricci curvature and bounded potential must admit a Riemannian metric with nonnegative Ricci c…
math.DG2025
Heat kernel estimate on weighted Riemannian manifolds under lower -Ricci curvature bounds with -range and it's application
Wen-Qi Li, Zhikai Zhang
In this paper, we establish a parabolic Harnack inequality for positive solutions of the -heat equation and prove Gaussian upper and lower bounds for the -heat kernel on weig…
math.DG2023
New Volume Comparison Results and Volume Growth Rigidity of Gradient Ricci Almost Solitons
Wen-Qi Li
In this paper, we establish a new volume comparison theorem for a complete manifold with a function as the lower bound of the Bakry-Emery Ricci curvature. As applications, w…