256 citations · 793 across the 50 of their papers we have counts for
50 papers
The Hermitian-Yang-Mills Iteration on Stable Bundles
Huai-Dong Cao, Xiaofeng Sun, Yingying Zhang
In this paper, based on recent results for the prescribed Hermitian-Yang-Mills (HYM) tensor and its twisted variants by Fan-Wang-Yang-Yau, we provide a dynamical construction of He…
On curvature estimates for four-dimensional gradient Ricci solitons
Huai-Dong Cao
In this survey paper, we analyse and compare the recent curvature estimates for three types of -dimensional gradient Ricci solitons, especially between Ricci shrinkers [58] and…
Linear stability of compact shrinking Ricci solitons
Huai-Dong Cao, Meng Zhu
In this paper, we continue investigating the second variation of Perelman's -entropy for compact shrinking Ricci solitons. In particular, we improve some of our previous work in…
Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature
Huai-Dong Cao, Junming Xie
In this paper, we investigate the geometry of 4-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature (half PIC) or half nonnegative isotrop…
A Weil-Petersson Type Metric on the Space of Fano Kaehler-Ricci Solitons
Huai-Dong Cao, Xiaofeng Sun, Yingying Zhang
In this paper we define a Weil-Petersson type metric on the space of shrinking Kaehler-Ricci solitons and prove a necessary and sufficient condition on when it is independent of th…
Complete gradient expanding Ricci solitons with finite asymptotic scalar curvature ratio
Huai-Dong Cao, Tianbo Liu, Junming Xie
Let , , be a complete gradient expanding Ricci soliton with nonnegative Ricci curvature . In this paper, we show that if the asymptotic scalar curva…