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Transactions of the American Mathematical Society
Transactions of the American Mathematical Society
ISSN 1088-6850(online) ISSN 0002-9947(print)

   

 

Mean curvature flow, orbits, moment maps


Author: Tommaso Pacini
Journal: Trans. Amer. Math. Soc. 355 (2003), 3343-3357
MSC (2000): Primary 53C42, 53C44; Secondary 53D20
Published electronically: April 17, 2003
MathSciNet review: 1974691
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Abstract: Given a compact Riemannian manifold together with a group of isometries, we discuss MCF of the orbits and some applications: e.g., 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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Additional Information

Tommaso Pacini
Affiliation: Imperial College, London, UK; University of Pisa, Pisa, Italy
Address at time of publication: Department of Mathematics, Georgia Institute of Technology, Atlanta, Georgia 30332
Email: pacini@paley.dm.unipi.it, pacini@math.gatech.edu

DOI: http://dx.doi.org/10.1090/S0002-9947-03-03307-5
PII: S 0002-9947(03)03307-5
Received by editor(s): September 4, 2002
Received by editor(s) in revised form: January 29, 2003
Published electronically: April 17, 2003
Article copyright: © Copyright 2003 by the author