A Hölder-type inequality for the Hausdorff distance between Lagrangians
We prove a Hölder-type inequality (in the spirit of Joksimović and Seyfaddini in Int Math Res Not IMRN 8:6303-6324, 2024) for the Hausdorff distance between Lagrangians with respect to the Lagrangian spectral distance or the Hofer-Chekanov distance. This inequality is established via methods developed by the first author (Chassé in Int J Math 34(5):2350024, 2023; Chassé in Differ Geom Appl 94:Paper No. 102123, 22, 2024) to understand the symplectic geometry of certain collections of Lagrangians under metric constraints.
Authors
- Jean-Philippe Chassé (ORCID: https://orcid.org/0000-0002-4423-1631)
- Rémi Leclercq
Institutions
- Centre National de la Recherche Scientifique (FR)
- Université Paris-Saclay (FR)
- ETH Zurich (CH)
Publication Details
- Journal
- Journal of Fixed Point Theory and Applications
- Published
- 2025-03-20
- DOI
- https://doi.org/10.1007/s11784-025-01177-4
- Primary Topic
- Geometric and Algebraic Topology
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Agence Nationale de la Recherche
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Université Paris-Saclay