تقرير
Scalar curvature rigidity of domains in a warped product
| العنوان: | Scalar curvature rigidity of domains in a warped product |
|---|---|
| المؤلفون: | Chai, Xiaoxiang, Wan, Xueyuan |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C24, 53C27, 53C21 |
| الوصف: | By exploiting the conformality of a warped product metric with a direct product metric, we develop a new connection on a twisted spinor bundle and its associated Dirac operator. We obtain a Llarull type scalar curvature rigidity for a general class of domains in a warped product. Also, we are able to address Gromov dihedral rigidity in hyperbolic space assuming matching angles. Comment: 32 pages, comments welcome. This preprint supersedes arXiv:2312.16022. A Llarull theorem is added in this paper, and we handle all dimensions; the rigidity of initial data sets would be in a separate paper |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2407.10212 |
| رقم الأكسشن: | edsarx.2407.10212 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |