Mean Curvature Flow, Orbits, Moment Maps

Journal article

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.

Authors: Pacini, T

• Publication status: Published
• Journal: Trans. A.M.S.
• Volume: 355
• Issue: 8
• Pages: 3343-3357
• Publication date: 2002-07-16
• DOI: 10.1090/S0002-9947-03-03307-5
• ISSN: 0002-9947
• Language: English
• Keywords: math.DG; 53C44; 53C42; 53D20