4 papers
A note on the classification of four-dimensional gradient steady and expanding Ricci solitons
Huai-Dong Cao, Junming Xie
In this note, we study the classification of four-dimensional complete gradient steady and expanding Ricci solitons. Specifically, under the asymptotically cylindrical (respectivel…
Curvature pinching of asymptotically conical gradient expanding Ricci solitons
Huai-Dong Cao, Junming Xie
In this paper, we investigate curvature pinching phenomena in complete non-compact asymptotically conical gradient expanding Ricci solitons and establish several Hamilton-Ivey type…
Quasi-Einstein manifolds with Harmonic Weyl curvature
Huai-Dong Cao, Fengjiang Li, James Siene
In this paper, we classify -dimensional () quasi-Einstein manifolds with harmonic Weyl curvature, thus extending the work of Shin \cite{Shin} in dimension four for quas…
Four-dimensional gradient Ricci solitons with (half) nonnegative isotropic curvature
Huai-Dong Cao, Junming Xie
This is a sequel to our paper [24], in which we investigated the geometry of 4-dimensional gradient shrinking Ricci solitons with half positive (nonnegative) isotropic curvature. I…