A H\"older-type inequality for the Hausdorff distance between Lagrangians
Symplectic Geometry
2023-12-06 v2 Differential Geometry
Abstract
We prove a H\"older-type inequality for the Hausdorff distance between Lagrangians with respect to the Lagrangian spectral distance or the Hofer-Chekanov distance in the spirit of Joksimovi\'c-Seyfaddini [arXiv:2207.11813]. This inequality is established via methods developped by the first author [arXiv:2204.02468, arXiv:2108.00555] in order to understand the symplectic geometry of certain collections of Lagrangians under metric constraints.
Keywords
Cite
@article{arxiv.2308.16695,
title = {A H\"older-type inequality for the Hausdorff distance between Lagrangians},
author = {Jean-Philippe Chassé and Rémi Leclercq},
journal= {arXiv preprint arXiv:2308.16695},
year = {2023}
}
Comments
13 pages, 0 figure, comments welcome ; v2: added an example (in Remark 4) and moved funding acknowledgement to first page