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arXiv · 2308.16695

A H\"older-type inequality for the Hausdorff distance between Lagrangians

Jean-Philippe Chassé·Rémi Leclercq
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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.

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Jean-Philippe Chassé, Rémi Leclercq. 2023-08-31. A H\"older-type inequality for the Hausdorff distance between Lagrangians. https://arxiv.org/abs/2308.16695

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