تقرير
On the existence of dual solutions for Lorentzian cost functions
| العنوان: | On the existence of dual solutions for Lorentzian cost functions |
|---|---|
| المؤلفون: | Kell, Martin, Suhr, Stefan |
| سنة النشر: | 2018 |
| المجموعة: | Mathematics Mathematical Physics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, Mathematical Physics, Mathematics - Metric Geometry, 53C50, 83C99, 49Q20 |
| الوصف: | The dual problem of optimal transportation in Lorentz-Finsler geometry is studied. It is shown that in general no solution exists even in the presence of an optimal coupling. Under natural assumptions dual solutions are established. It is further shown that the existence of a dual solution implies that the optimal transport is timelike on a set of full measure. In the second part the persistence of absolute continuity along an optimal transportation under obvious assumptions is proven and a solution to the relativistic Monge problem is provided. Comment: Comments are welcome |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/1808.04393 |
| رقم الأكسشن: | edsarx.1808.04393 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |