Gaussian Mean curvature flow

Details Gaussian Mean curvature flow Gaussian Mean curvature flow

2009-12-22

arxiv.org/abs/0912.4470v1

Mathematics

Differential Geometry

10 pages

Scientific paper

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

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