Mean Curvature Flow of Higher Codimension in Hyperbolic Spaces

Details Mean Curvature Flow of Higher Codimension in Hyperbolic Spaces Mean Curvature Flow of Higher Codimension in Hyperbolic Spaces

2011-05-28

arxiv.org/abs/1105.5686v1

Mathematics

Differential Geometry

14 pages

Scientific paper

In this paper we investigate the convergence for the mean curvature flow of
closed submanifolds with arbitrary codimension in space forms. Particularly, we
prove that the mean curvature flow deforms a closed submanifold satisfying a
pinching condition in a hyperbolic space form to a round point in finite time.

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