arXiv:math/0204054 Abstract

arXiv:math/0204054 [math.DG]Abstract References Reviews Resources

Mean curvature flow in higher codimension

Published 2002-04-03Version 1

The mean curvature flow is an evolution process under which a submanifold deforms in the direction of its mean curvature vector. The hypersurface case has been much studied since the eighties. Recently, several theorems on regularity, global existence and convergence of the flow in various ambient spaces and codimensions were proved. We shall explain the results obtained as well as the techniques involved. The potential applications in symplectic topology and mirror symmetry will also be discussed.

Comments: To appear in the proceedings of International Congress of Chinese Mathematicians 2001

Categories: math.DG, math.AP

Keywords: mean curvature flow, higher codimension, mean curvature vector, evolution process, hypersurface case

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