https://neckpinch.com/authors/jiaqian-liu/New arXiv papers by Jiaqian Liu, from Neckpinch Tue, 03 Nov 2026 08:41:12 GMT https://neckpinch.com/papers/2206.01963/arxiv:2206.01963Sat, 04 Jun 2022 00:00:00 GMTJinrong Hu, Jiaqian Liu, Di Ma, Jing Wang — In this paper, we concern a generalized fully nonlinear curvature flow involving k-th elementary symmetric function for principal curvature radii in Eulidean space rnnn, k is an integer and 1≤ k≤ n-1. For 1≤ k< n-1, based on some initial data and constrains on smooth positive function defined on the unit sphere sn, we obtain the long time existence and convergence of the flow. Especially, the same result shall be derived for k=n-1 without any constraint on the smooth positive function.Other curvature flowsLong-time existence & convergence