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arXiv · 1901.01080

Convergence of Gauss curvature flows to translating solitons

Beomjun Choi·Kyeongsu Choi·Panagiota Daskalopoulos
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Abstract

We address the asymptotic behavior of the $\alpha$-Gauss curvature flow, for $\alpha >1/2$, with initial data a complete non-compact convex hypersurface which is contained in a cylinder of bounded cross section. We show that the flow converges, as $t \to +\infty$, locally smoothly to a translating soliton which is uniquely determined by the asymptotic cylinder of the initial hypersurface.

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Beomjun Choi, Kyeongsu Choi, Panagiota Daskalopoulos. 2019-01-04. Convergence of Gauss curvature flows to translating solitons. https://arxiv.org/abs/1901.01080

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