Mean curvature flow, orbits, moment maps

Pacini, Tommaso

doi:10.1090/S0002-9947-03-03307-5

Mean curvature flow, orbits, moment maps
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Trans. Amer. Math. Soc. 355 (2003), 3343-3357

Abstract:

Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbits and some applications: e.g., finding minimal orbits. We then specialize to Lagrangian orbits in Kaehler manifolds. In particular, in the Kaehler-Einstein case we find a relation between MCF and moment maps which, for example, proves that the minimal Lagrangian orbits are isolated.

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