4 citations · 11 across the 7 of their papers we have counts for
7 papers
Kählerity of complete almost-Kähler gradient shrinking Ricci solitons
Junming Xie
In this paper, we prove that any complete, compact or noncompact, almost-Kähler gradient shrinking Ricci soliton is Kähler in arbitrary even dimension. Among other applications, co…
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…
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…
Convexity of 2-convex translating and expanding solitons to the mean curvature flow in
Junming Xie, Jiangtao Yu
In this paper, inspired by the work of Spruck-Xiao [27] and based partly on a result of Derdziński [11], we prove the convexity of complete 2-convex translating and expanding solit…
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…
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…