https://neckpinch.com/authors/caroline-vanblargan/New arXiv papers by Caroline VanBlargan, from Neckpinch Tue, 03 Nov 2026 08:41:12 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