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

Celso Viana

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

Differential Geometry 2018-12-13 v2

Authors: Celso Viana

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.

Keywords

Whitney sphere mean curvature flow Lagrangian sphere tangent flow collapse

Cite

@article{arxiv.1802.02108,
  title  = {A note on the evolution of the Whitney sphere along mean curvature flow},
  author = {Celso Viana},
  journal= {arXiv preprint arXiv:1802.02108},
  year   = {2018}
}

Comments

13 pages, typos corrected, 2 figures

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