Representation formula for symmetric symplectic capacity and applications
Symplectic Geometry
2020-04-22 v3 Dynamical Systems
Abstract
This is the second installment in a series of papers aimed at generalizing symplectic capacities and homologies. We study symmetric versions of symplectic capacities for real symplectic manifolds, and obtain corresponding results for them to those of the first [19] of this series (such as representation formula, a theorem by Evgeni Neduv, Brunn-Minkowski type inequality and Minkowski billiard trajectories proposed by Artstein-Avidan-Ostrover).
Keywords
Cite
@article{arxiv.1903.00678,
title = {Representation formula for symmetric symplectic capacity and applications},
author = {Rongrong Jin and Guangcun Lu},
journal= {arXiv preprint arXiv:1903.00678},
year = {2020}
}
Comments
Latex, 63 pages. Final version, to appear in Discrete and Continuous Dynamical Systems- Series(DCDS-A), Vol.40, no.8. arXiv admin note: substantial text overlap with arXiv:1903.01116