Mathematics – Differential Geometry
Scientific paper
2002-07-16
Trans. A.M.S., vol. 355 n. 8 (2003), pp. 3343-3357
Mathematics
Differential Geometry
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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