https://neckpinch.com/authors/zhe-zhou/New arXiv papers by Zhe Zhou, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1710.01242/arxiv:1710.01242Tue, 03 Oct 2017 00:00:00 GMTZhe Zhou, Chuan-Xi Wu, Jing Mao — In this paper, we prove the short-time existence of hyperbolic inverse (mean) curvature flow (with or without the specified forcing term) under the assumption that the initial compact smooth hypersurface of ℝⁿ⁺¹ (ngeqslant2) is mean convex and star-shaped. Several interesting examples and some hyperbolic evolution equations for geometric quantities of the evolving hypersurfaces have been shown. Besides, under different assumptions for the initial velocity, we can get the expansion and the convergence results of a hyperbolic inverse mean curvature flow in the plane ℝ², whose evolving curves move normally.Mean curvature flowOther curvature flowsInverse mean curvature flowHarmonic maps & DeTurck trick