https://neckpinch.com/authors/jiangtao-yu/New arXiv papers by Jiangtao Yu, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2211.14281/arxiv:2211.14281Fri, 25 Nov 2022 00:00:00 GMTJunming 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 solitons to the mean curvature flow in ℝⁿ⁺¹. More precisely, for n≥ 3, we show that any n-dimensional complete 2-convex translating solitons are convex, and any n-dimensional complete 2-convex self-expanders asymptotic to (strictly) mean convex cones are convex.Mean curvature flowRicci solitonsSelf-shrinkers & translators