Gaussian Mean curvature flow

2009/12/22 by Borisenko, Alexander A., Miquel, Vicente · 2 citations
#53C44 #Differential Geometry (math.DG) #FOS: Mathematics

paper · doi:10.48550/arxiv.0912.4470

Abstract

We consider the evolution of a n-dimensional convex hypersurface in the euclidean space under mean curvature flow with densities e^{ε \frac12 nμ2 |x|2}, ε =± 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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• Harnack Inequality for f-Mean Curvature Flow
• Existence of martingale solutions for a stochastic weighted mean curvature flow of graphs

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