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

Celso Viana

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arXiv · 1802.02108

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

Celso Viana

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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.

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Celso Viana. 2018-02-06. A note on the evolution of the Whitney sphere along mean curvature flow. https://arxiv.org/abs/1802.02108

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