https://neckpinch.com/authors/yi-wang/New arXiv papers by Yi Wang, from Neckpinch Tue, 03 Nov 2026 07:43:57 GMT https://neckpinch.com/papers/2208.14341/arxiv:2208.14341Tue, 30 Aug 2022 00:00:00 GMTCaroline VanBlargan, Yi Wang — In this paper, we consider the stability of quermassintegral inequalities along a inverse curvature flow. We choose a special rescaling of the flow such that the k-th quermassintegral is decreasing and the k-1-th quermassintegral is preserved. Along this rescaled flow, we prove that the decreasing rate of the k-th quermassintegral is faster than the Fraenkel asymmetry of the domain when approaching to the sphere. This leads to the stability inequality of quermassintegral inequalities for nearly spherical sets using the flow method.Other curvature flowsInverse mean curvature flowStability & uniquenessGeometric inequalities https://neckpinch.com/papers/2207.07003/arxiv:2207.07003Thu, 14 Jul 2022 00:00:00 GMTGilles Carron, Eric Chen, Yi Wang — We study the Yamabe flow on asymptotically flat manifolds with non-positive Yamabe constant Y≤ 0. Previous work by the second and third named authors showed that while the Yamabe flow always converges in a global weighted sense when Y>0, the flow must diverge when Y≤ 0. We show here in the Y≤ 0 case however that after suitable rescalings, the Yamabe flow starting from any asymptotically flat manifold must converge to the unique positive function which solves the Yamabe problem on a compactification of the original manifold.Yamabe flowBoundaries & non-compact