Singularities of codimension two mean curvature flow of symplectic surfaces

Jingyi Chen; Jiayu Li

Singularities of codimension two mean curvature flow of symplectic surfaces

Differential Geometry 2007-05-23 v1

Authors: Jingyi Chen , Jiayu Li

Abstract

We prove that for a mean curvature flow of a compact symplectic surface in a compact Kaehler-Einstein surface, the tangent cone at the first blow-up time consists of a finite union of more than two 2-planes in $R^4$ which are complex in a complex structure on $R^4$ .

Keywords

mean curvature flow symplectic surfaces kaehler-einstein surface singularities tangent cone blow-up

Cite

@article{arxiv.math/0208227,
  title  = {Singularities of codimension two mean curvature flow of symplectic surfaces},
  author = {Jingyi Chen and Jiayu Li},
  journal= {arXiv preprint arXiv:math/0208227},
  year   = {2007}
}

Comments

27 pages

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