On the horizontal mean curvature flow for axisymmetric surfaces in the Heisenberg group
2014 ◽
Vol 16
(03)
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pp. 1350027
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Keyword(s):
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.
Proceedings of the ISCIE International Symposium on Stochastic Systems Theory and its Applications
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2005 ◽
Vol 2005
(0)
◽
pp. 32-37
Keyword(s):
2003 ◽
pp. 249-264
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Keyword(s):
2018 ◽
Vol 62
(9)
◽
pp. 1793-1798
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