Mean Curvature Flow of Higher Codimension in Hyperbolic Spaces
classification
🧮 math.DG
keywords
curvatureflowmeanclosedcodimensionhyperbolicspacearbitrary
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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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