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arXiv · 1503.02429

The curve shortening problem associated to a density

Vicente Miquel·Francisco Viñado-Lereu
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Abstract

In $\mathbb{R}^n$ with a density $e^\psi$, we study the mean curvature flow associated to the density ($\psi$-mean curvature flow or $\psi$MCF) of a hypersurface. The main results concern with the description of the evolution under $\psi$MCF of a closed embedded curve in the plane with a radial density, and with a statement of subconvergence to a $\psi$-minimal closed curve in a surface under some general circumstances.

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Vicente Miquel, Francisco Viñado-Lereu. 2015-03-09. The curve shortening problem associated to a density. https://arxiv.org/abs/1503.02429

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