تقرير
Scattering rigidity for standard stationary manifolds via timelike geodesics
| العنوان: | Scattering rigidity for standard stationary manifolds via timelike geodesics |
|---|---|
| المؤلفون: | Muñoz-Thon, Sebastián |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C24, 53C50, 35R30, 53C22, 53D20, 53D25, 70H33 |
| الوصف: | We study the scattering rigidity problem for standard stationary manifolds using timelike geodesics with a fixed momentum. Taking advantage of the symmetry of this manifolds, we use Hamiltonian reduction to show that this problem is related to scattering rigidity for $\mathcal{MP}$-systems, a problem studied before. This gives several new rigidity results (up to some gauge) for this kind of Lorentzian manifolds. Comment: 26 pages; typos corrected, more explicit result and hypothesis, references added |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.09449 |
| رقم الأكسشن: | edsarx.2404.09449 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |