Mean Curvature Flow, Orbits, Moment Maps
Differential Geometry
2007-05-23 v3
Abstract
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.
Cite
@article{arxiv.math/0207130,
title = {Mean Curvature Flow, Orbits, Moment Maps},
author = {T. Pacini},
journal= {arXiv preprint arXiv:math/0207130},
year = {2007}
}
Comments
18 pages; minor changes