A note on symmetrical symplectic capacities
Symplectic Geometry
2020-08-04 v2
Abstract
For a convex domain in the standard Euclidean symplectic space which is invariant under a linear anti-symplectic involution we show that its Ekeland-Hofer-Zehnder capacity is equal to the -symmetrical symplectic capacity of it.
Cite
@article{arxiv.2004.12933,
title = {A note on symmetrical symplectic capacities},
author = {Kun Shi and Guangcun Lu},
journal= {arXiv preprint arXiv:2004.12933},
year = {2020}
}
Comments
This note is withdrawn because there is a mistake in the proof of Theorem~1.1