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- W3208494575 abstract "In this paper, we prove that convex hypersurfaces under the flow by powers $alpha>0$ of the Gauss curvature in space forms $mathbb{N}^{n+1}(kappa)$ of constant sectional curvature $kappa$ $(kappa=pm 1)$ contract to a point in finite time $T^*$. Moreover, convex hypersurfaces under the flow by power $alpha>frac{1}{n+2}$ of the Gauss curvature converge (after rescaling) to a limit which is the geodesic sphere in $mathbb{N}^{n+1}(kappa)$. This extends the known results in Euclidean space to space forms." @default.
- W3208494575 created "2021-11-08" @default.
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- W3208494575 date "2021-11-02" @default.
- W3208494575 modified "2023-09-24" @default.
- W3208494575 title "Flow by powers of the Gauss curvature in space forms" @default.
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- W3208494575 doi "https://doi.org/10.48550/arxiv.2111.01951" @default.
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