256 citations · 793 across the 50 of their papers we have counts for
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Infinitesimal rigidity of collapsed gradient steady Ricci solitons in dimension three
Huai-Dong Cao, Chenxu He
The only known example of collapsed three-dimensional complete gradient steady Ricci solitons so far is the 3D cigar soliton , the product of Hamilton's cigar…
Curvature Estimates for Four-Dimensional Gradient Steady Ricci Solitons
Huai-Dong Cao, Xin Cui
In this paper, we derive certain curvature estimates for 4-dimensional gradient steady Ricci solitons either with positive Ricci curvature or with scalar curvature decay.
On Three-dimensional CR Yamabe Solitons
Huai-Dong Cao, Shu-Cheng Chang, Chih-Wei Chen
In this paper, we investigate the geometry and classification of three-dimensional CR Yamabe solitons. In the compact case, we show that any 3-dimensional CR Yamabe soliton must ha…
Aronson-Bénilan estimates for the porous medium equation under the Ricci flow
Huai-Dong Cao, Meng Zhu
In this paper we study the porous medium equation (PME) coupled with the Ricci flow on complete manifolds with bounded nonnegative curvature operator. In particular, we derive Aron…