A note on the evolution of the Whitney sphere along mean curvature flow

Abstract

We study the evolution of the Whitney sphere along the Lagrangian mean curvature flow. We show that equivariant Lagrangian spheres in ${\mathbb{C}}^n$ satisfying mild geometric assumptions collapse to a point in finite time and the tangent flows converge to a Lagrangian plane with multiplicity two.

13 pages, typos corrected, 2 figures