A Hölder-type inequality for the Hausdorff distance between Lagrangians
arXiv:2308.16695
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.
13 pages, 0 figure, comments welcome ; v2: added an example (in Remark 4) and moved funding acknowledgement to first page