Junming Xie

activity

20222026

most citedConvexity of 2-convex translating and expanding solitons to the mean curvature flow in

R^{n + 1}

4 citations · 11 across the 7 of their papers we have counts for

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3 papers · 1 filter

math.DG2022★ 4 cited

Convexity of 2-convex translating and expanding solitons to the mean curvature flow in $R^{n + 1}$

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…

math.DG2022★ 2 cited

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…

math.DG2022★ 3 cited

Complete gradient expanding Ricci solitons with finite asymptotic scalar curvature ratio

Huai-Dong Cao, Tianbo Liu, Junming Xie

Let $(M^{n}, g, f)$ , $n \geq 5$ , be a complete gradient expanding Ricci soliton with nonnegative Ricci curvature $R c \geq 0$ . In this paper, we show that if the asymptotic scalar curva…

Convexity of 2-convex translating and expanding solitons to the mean curvature flow in Rn+1

Four-dimensional complete gradient shrinking Ricci solitons with half positive isotropic curvature

Complete gradient expanding Ricci solitons with finite asymptotic scalar curvature ratio

Convexity of 2-convex translating and expanding solitons to the mean curvature flow in $R^{n + 1}$