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arXiv · 1603.03229

Evolution by mean curvature flow of Lagrangian spherical surfaces in complex Euclidean plane

Ildefonso Castro·Ana M. Lerma·Vicente Miquel
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Abstract

We describe the evolution under the mean curvature flow of embedded Lagrangian spherical surfaces in the complex Euclidean plane $\mathbb{C}^2$. In particular, we answer the Question 4.7 addressed in [Ne10b] by A. Neves about finding out a condition on a starting Lagrangian torus in $\mathbb{C}^2$ such that the corresponding mean curvature flow becomes extinct at finite time and converges after rescaling to the Clifford torus.

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Ildefonso Castro, Ana M. Lerma, Vicente Miquel. 2016-03-10. Evolution by mean curvature flow of Lagrangian spherical surfaces in complex Euclidean plane. https://arxiv.org/abs/1603.03229

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