Mean curvature flow, orbits, moment maps
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- by Tommaso Pacini PDF
- Trans. Amer. Math. Soc. 355 (2003), 3343-3357
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.References
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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
- MR Author ID: 656007
- Email: pacini@paley.dm.unipi.it, pacini@math.gatech.edu
- Received by editor(s): September 4, 2002
- Received by editor(s) in revised form: January 29, 2003
- Published electronically: April 17, 2003
- © Copyright 2003 by the author
- Journal: Trans. Amer. Math. Soc. 355 (2003), 3343-3357
- MSC (2000): Primary 53C42, 53C44; Secondary 53D20
- DOI: https://doi.org/10.1090/S0002-9947-03-03307-5
- MathSciNet review: 1974691