34 citations · 157 across the 30 of their papers we have counts for
5 papers · 2 filters
A remark on weighted Bergman kernels on orbifolds
Xianzhe Dai, Kefeng Liu, Xiaonan Ma
In this note, we explain that Ross-Thomas' result on the weighted Bergman kernels on orbifolds can be directly deduced from our previous result. This result plays an important role…
Generalized Ricci flow I: Local existence and uniqueness
Chun-lei He, Sen Hu, De-Xing Kong +1
In this paper we investigate a kind of generalized Ricci flow which possesses a gradient form. We study the monotonicity of the given function under the generalized Ricci flow and…
Mean Curvature Flow of Higher Codimension in Hyperbolic Spaces
Kefeng Liu, Hongwei Xu, Fei Ye +1
In this paper we investigate the convergence for the mean curvature flow of closed submanifolds with arbitrary codimension in space forms. Particularly, we prove that the mean curv…
Remarks on the Cartan Formula and Its Applications
Kefeng Liu, Sheng Rao
In this short note, we present certain generalized versions of the commutator formulas of some natural operators on manifolds, and give some applications.
The extension and convergence of mean curvature flow in higher codimension
Kefeng Liu, Hongwei Xu, Fei Ye +1
In this paper, we first investigate the integral curvature condition to extend the mean curvature flow of submanifolds in a Riemannian manifold with codimension , which gen…