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arXiv · 2308.16695

A Hölder-type inequality for the Hausdorff distance between Lagrangians

Jean-Philippe Chassé·Rémi Leclercq
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Abstract

We prove a Hölder-type inequality for the Hausdorff distance between Lagrangians with respect to the Lagrangian spectral distance or the Hofer-Chekanov distance in the spirit of Joksimović-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. 2023-12-05. A Hölder-type inequality for the Hausdorff distance between Lagrangians. https://arxiv.org/abs/2308.16695

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