Locally conformally symplectic deformation of Gromov non-squeezing

Yasha Savelyev

Locally conformally symplectic deformation of Gromov non-squeezing

Symplectic Geometry 2023-09-19 v2 Differential Geometry

Authors: Yasha Savelyev

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.

Keywords

locally conformally symplectic gromov non-squeezing symplectic geometry contact geometry deformation theory

Cite

@article{arxiv.2208.09404,
  title  = {Locally conformally symplectic deformation of Gromov non-squeezing},
  author = {Yasha Savelyev},
  journal= {arXiv preprint arXiv:2208.09404},
  year   = {2023}
}

Comments

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

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