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Pinched ancient solutions to the high codimension mean curvature flow

Pinched ancient solutions to the high codimension mean curvature flow

Abstract We study solutions of high codimension mean curvature flow defined for all negative times, usually referred to as ancient solutions. We show that any compact ancient solution whose second fundamental form satisfies a certain natural pinching condition must be a family of shrinking spheres. Andrews and Baker (J Differ …