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The mean curvature flow approach to the symplectic isotopy problem

Differential Geometry 2007-05-23 v1

Abstract

Let MM be a K\"ahler-Einstein surface with positive scalar curvature. If the initial surface is sufficiently close to a holomorphic curve, we show that the mean curvature flow has a global solution and it converges to a holomorphic curve.

Keywords

Cite

@article{arxiv.math/0411284,
  title  = {The mean curvature flow approach to the symplectic isotopy problem},
  author = {Xiaoli Han and Jiayu Li},
  journal= {arXiv preprint arXiv:math/0411284},
  year   = {2007}
}

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7 pages