5 papers
Kähler--Ricci Shrinkers with Constant Scalar Curvature Are Rigid
Wenqi Li, Jianyu Ou, Guoqiang Wu +1
Let be a complete gradient Kähler--Ricci shrinker satisfying \[ \operatorname{Ric}+\nabla^2 f=\frac12 g. \] We prove that if the scalar curvature is constant, then…
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…
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…
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…
Fusion Rings over Drinfeld Doubles
Wenqi Li
The fusion rules in for a finite group can be computed in terms of character inner products. Using an explicit formula for these fusion rules, we show tha…