https://neckpinch.com/authors/shanze-gao/New arXiv papers by Shanze Gao, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2205.00927/arxiv:2205.00927Mon, 02 May 2022 00:00:00 GMTShanze Gao — In some warped product manifolds including space forms, we consider closed self-similar solutions to curvature flows whose speeds are negative powers of mean curvature, Gauss curvature and other curvature functions with suitable properties. We prove such self-similar solutions, not necessarily strictly convex for some cases, must be slices of warped product manifolds. A new auxiliary function is the key of the proofs.Other curvature flowsSphere theoremsRotational symmetry & warped products