Symmetrical Symplectic Capacity with Applications
Symplectic Geometry
2010-11-25 v1
Abstract
In this paper, we first introduce the concept of symmetrical symplectic capacity for symmetrical symplectic manifolds, and by using this symmetrical symplectic capacity theory we prove that there exists at least one symmetric closed characteristic (brake orbit and -invariant brake orbit are two examples) on prescribed symmetric energy surface which has a compact neighborhood with finite symmetrical symplectic capacity.
Cite
@article{arxiv.1011.5291,
title = {Symmetrical Symplectic Capacity with Applications},
author = {Chungen Liu and Qi Wang},
journal= {arXiv preprint arXiv:1011.5291},
year = {2010}
}
Comments
28 pages, submitted