Rotational symmetry of self-expanders to the inverse mean curvature flow with cylindrical ends

2016/08/06 by Drugan, Gregory, Fong, Frederick Tsz-Ho, Lee, Hojoo
#35C06 #53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.1608.02137

Abstract

We show that any complete, immersed self-expander to the inverse mean curvature flow, which has one end asymptotic to a cylinder, or has two ends asymptotic to two coaxial cylinders, must be rotationally symmetric.

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