2 papers
math.DG2023
Gradient Estimates For The CR Heat Equation On Complete noncompact Pseudo-Hermitian Manifolds
Yuxin Dong, Yibin Ren, Biqiang Zhao
In this paper, we derive local and global Li-Yau type gradient estimates for the positive solutions of the CR heat equation on complete noncompact pseudo-Hermitian manifolds. As ap…
math.DG2014
Rigidity theorems of complete Kähler-Einstein manifolds and complex space forms
Tian Chong, Yuxin Dong, Hezi Lin +1
We derive some elliptic differential inequalities from the Weitzenböck formulas for the traceless Ricci tensor of a Kähler manifold with constant scalar curvature and the Bochner t…