تقرير
A Gauss-Bonnet-Chern type obstruction for Killing vector fields on Lorentzian manifolds
| العنوان: | A Gauss-Bonnet-Chern type obstruction for Killing vector fields on Lorentzian manifolds |
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| المؤلفون: | Romero, Alfonso, Sánchez, Miguel |
| سنة النشر: | 2024 |
| المجموعة: | Mathematics |
| مصطلحات موضوعية: | Mathematics - Differential Geometry, 53C50, 53B30, 53Z05 |
| الوصف: | A new curvature obstruction to the existence of a timelike (resp. causal) Killing or homothetic vector field $X$ on an even-dimensional (odd-dimensional) Lorentzian manifold, in terms of its timelike (resp. null) sectional curvature is given. As a consequence for the compact case, the well-known Gauss-Bonnet-Chern obstruction to the existence of semi-Riemannian metrics is extended from non-zero constant sectional curvature to non-zero timelike sectional curvature on $X$. Comment: v2: Remark 6 and one reference included. 12 pages, no figures |
| نوع الوثيقة: | Working Paper |
| URL الوصول: | http://arxiv.org/abs/2404.07284 |
| رقم الأكسشن: | edsarx.2404.07284 |
| قاعدة البيانات: | arXiv |
| الوصف غير متاح. |