Exponential decay of $J$-holomorphic maps with finite energy

An-Min Li; Li Sheng

Exponential decay of $J$-holomorphic maps with finite energy

Symplectic Geometry 2015-07-24 v2 Dynamical Systems

Authors: An-Min Li , Li Sheng

Abstract

We prove that every finite energy $J$ -holomorphic map $u(s,t):\mathbb R\times S^1 \rightarrow {\mathbb R} \times \widetilde{M}$ exponentially converges to a periodic orbit of Reeb vector field of $\widetilde M,$ as $s\to \infty.$

Keywords

J-holomorphic map finite energy exponential decay periodic orbit Reeb vector field symplectic geometry

Cite

@article{arxiv.1507.05416,
  title  = {Exponential decay of $J$-holomorphic maps with finite energy},
  author = {An-Min Li and Li Sheng},
  journal= {arXiv preprint arXiv:1507.05416},
  year   = {2015}
}

Comments

This paper has been withdrawn by the authors. As pointed out to us by Richard Siefring that Theorem 1.2 is incorrect. We are sincerely grateful to him

Exponential decay of $J$-holomorphic maps with finite energy

Abstract

Keywords

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