https://neckpinch.com/authors/ka-wing-chow/New arXiv papers by Ka-Wing Chow, from Neckpinch Tue, 10 Nov 2026 04:10:28 GMT https://neckpinch.com/papers/1701.03995/arxiv:1701.03995Sun, 15 Jan 2017 00:00:00 GMTTsz-Kiu Aaron Chow, Ka-Wing Chow, Frederick Tsz-Ho Fong — In this paper, we study self-expanding solutions to a large class of parabolic inverse curvature flows by homogeneous symmetric functions of principal curvatures in Euclidean spaces. These flows include the inverse mean curvature flow and many nonlinear flows in the literature. We first show that the only compact self-expanders to any of these flows are round spheres. Secondly, we show that complete non-compact self-expanders to any of these flows with asymptotically cylindrical ends must be rotationally symmetric. Thirdly, we show that when such a flow is uniformly parabolic, there exist complete rotationally symmetric self-expanders which are asymptotic to two round cylinders with different radii. These extend some earlier results of inverse mean curvature flow to a wider class of flows.Mean curvature flowOther curvature flowsInverse mean curvature flowSelf-shrinkers & translatorsHomogeneous spacesBoundaries & non-compactRotational symmetry & warped products