تقرير
The Isospectral Problem for p-widths: An Application of Zoll Metrics
| العنوان: | The Isospectral Problem for p-widths: An Application of Zoll Metrics |
|---|---|
| المؤلفون: | Marx-Kuo, Jared |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry |
| الوصف: | We pose the isospectral problem for the $p$-widths: Is a riemannian manifold $(M^n, g)$ uniquely determined by its $p$-widths, $\{\omega_p(M,g)\}_{p=1}^{\infty}$? We construct many counterexamples on $S^2$ using Zoll metrics and the fact that geodesic $p$-widths are given by unions of immersed geodesics. Comment: 3 pages, no figures, comments welcome! |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2405.19719 |
| رقم الأكسشن: | edsarx.2405.19719 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |