Locally conformally symplectic deformation of Gromov non-squeezing

Abstract

We prove one deformation theoretic extension of the Gromov non-squeezing phenomenon to $lcs$ structures, or locally conformally symplectic structures, which suitably generalize both symplectic and contact structures. We also conjecture an analogue in $lcs$ geometry of contact non-squeezing of Eliashberg-Polterovich and discuss other related questions.

arXiv commentVersion to appear in Archiv der Mathematik. 10 pages. arXiv admin note: text overlap with arXiv:2102.05820