تقرير
Remark on non-contractible closed geodesics and homotopy groups
| العنوان: | Remark on non-contractible closed geodesics and homotopy groups |
|---|---|
| المؤلفون: | Shelukhin, Egor, Zhang, Jun |
| سنة النشر: | 2023 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C22, 58E10 |
| الوصف: | We prove that if the $m$-th homotopy group for $m \geq 2$ of a closed manifold has non-trivial invariants or coinvariants under the action of the fundamental group, then there exist infinitely many geometrically distinct closed geodesics for a $C^4$-generic Riemannian metric. If moreover there are infinitely many conjugacy classes in the fundamental group, then the same holds for every Riemannian metric. Comment: 8 pages |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2307.13877 |
| رقم الأكسشن: | edsarx.2307.13877 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |