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arxiv: 1802.02108 · v2 · pith:DYBO2DLWnew · submitted 2018-02-06 · 🧮 math.DG

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

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keywords lagrangianalongcurvatureevolutionflowmeanspherewhitney
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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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