Journal article

### Mean Curvature Flow, Orbits, Moment Maps

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.
Publication status:
Published

### Authors

More by this author
Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
Trans. A.M.S.
Volume:
355
Issue:
8
Pages:
3343-3357
Publication date:
2002-07-16
DOI:
ISSN:
0002-9947
Source identifiers:
9617
Language:
English
Keywords:
Pubs id:
pubs:9617
UUID:
uuid:13eccda1-86bc-466f-b048-1d6ea2fd0297
Local pid:
pubs:9617
Deposit date:
2012-12-19