Representation formula for symmetric symplectic capacity and applications

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).

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

References in corpus (3)

• Generalizations of Ekeland-Hofer and Hofer-Zehnder symplectic capacities and applications
• On the Almost Everywhere Continuity
• The space of linear anti-symplectic involutions is a homogenous space

Cited by in corpus (2)

• Coisotropic Ekeland-Hofer capacities
• A note on symmetrical symplectic capacities