تقرير
A H\'older-type inequality for the Hausdorff distance between Lagrangians
| العنوان: | A H\'older-type inequality for the Hausdorff distance between Lagrangians |
|---|---|
| المؤلفون: | Chassé, Jean-Philippe, Leclercq, Rémi |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Symplectic Geometry, Mathematics - Differential Geometry, 53D12, 53C17 |
| الوصف: | 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. Comment: 13 pages, 0 figure, comments welcome ; v2: added an example (in Remark 4) and moved funding acknowledgement to first page |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2308.16695 |
| رقم الأكسشن: | edsarx.2308.16695 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |