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arXiv · 1210.1086

On the horizontal Mean Curvature Flow for Axisymmetric surfaces in the Heisenberg Group

Fausto Ferrari·Qing Liu·Juan J. Manfredi
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Abstract

We study the horizontal mean curvature flow in the Heisenberg group by using the level-set method. We prove the uniqueness, existence and stability of axisymmetric viscosity solutions of the level-set equation. An explicit solution is given for the motion starting from a subelliptic sphere. We also give several properties of the level-set method and the mean curvature flow in the Heisenberg group.

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Fausto Ferrari, Qing Liu, Juan J. Manfredi. 2012-10-03. On the horizontal Mean Curvature Flow for Axisymmetric surfaces in the Heisenberg Group. https://doi.org/10.1142/s0219199713500272

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