Dylan Cant

English · Français · 中文

On the rigidity of translated points

Dylan Cant、Jakob Hedicke

2024年09月。发表于 Geom. Dedicata 219 (2025), Paper No. 52

摘要：

We show that there exist contact isotopies of the standard contact sphere whose time-1 maps do not have any translated points which are optimally close to the identity in the Shelukhin-Hofer distance. This proves the sharpness of a theorem of Shelukhin on the existence of translated points for contact isotopies of Liouville fillable contact manifolds with small enough Shelukhin-Hofer norm.

链接：

• PDF
• arXiv:2409.08962
• 期刊版本（Geom. Dedicata）
• BibTeX

  @article{rigidity-translated-points,
    author        = {Dylan Cant and Jakob Hedicke},
    title         = {On the rigidity of translated points},
    journal       = {Geom. Dedicata},
    year          = {2025},
    volume        = {219},
    number        = {4},
    pages         = {Paper No. 52},
    doi           = {10.1007/s10711-025-01013-6},
    eprint        = {2409.08962},
    archivePrefix = {arXiv},
    primaryClass  = {math.SG},
  }