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arXiv · 0912.4470

Gaussian Mean curvature flow

Alexander A. Borisenko·Vicente Miquel
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Abstract

We consider the evolution of a $n$-dimensional convex hypersurface in the euclidean space under mean curvature flow with densities $e^{\varepsilon \frac12 nμ^2 |x|^2}$, $\varepsilon =\pm 1$, and completely determine it depending on the relation between $μ$ and the upper or lower bound of the normal curvatures of the evolving hypersurface at time 0.

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Alexander A. Borisenko, Vicente Miquel. 2009-12-22. Gaussian Mean curvature flow. https://arxiv.org/abs/0912.4470

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