J-holomorphic Curves And Periodic Reeb Orbits
Differential Geometry
2012-09-19 v5 Dynamical Systems
Abstract
We study the holomorphic curves in the symplectization of the contact manifolds and prove that there exists at least one periodic Reeb orbits in any closed contact manifold with any contact form by using the well-known Gromov's nonlinear Fredholm alternative for holomorphic curves. As a corollary, we give a complete solution on the well-known Weinstein conjecture.
Cite
@article{arxiv.math/0004037,
title = {J-holomorphic Curves And Periodic Reeb Orbits},
author = {Renyi Ma},
journal= {arXiv preprint arXiv:math/0004037},
year = {2012}
}
Comments
arXiv admin note: substantial text overlap with arXiv:math/0004038, arXiv:math/0309258, arXiv:math/0309270, arXiv:math/0309205, arXiv:math/0004035