Mean Curvature Flow, Orbits, Moment Maps

Mathematics – Differential Geometry

Scientific paper

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18 pages; minor changes

Scientific paper

Given a compact Riemannian manifold together with a group of isometries, we
discuss MCF of the orbits and some applications: eg, 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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