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arXiv:math/0207130 [math.DG]AbstractReferencesReviewsResources

Mean Curvature Flow, Orbits, Moment Maps

T. Pacini

Published 2002-07-16, updated 2003-10-19Version 3

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.

Comments: 18 pages; minor changes
Journal: Trans. A.M.S., vol. 355 n. 8 (2003), pp. 3343-3357
Categories: math.DG
Subjects: 53C44, 53C42, 53D20
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