Communications in Analysis and Geometry
Volume 21 (2013)
Mean curvature flow of higher codimension in hyperbolic spaces
Pages: 651 – 669
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.