On compact pseudo-Riemannian manifolds admitting Killing vector fields | ||
| AUT Journal of Mathematics and Computing | ||
| مقاله 7، دوره 7، شماره 4، زمستان 2026، صفحه 447-454 اصل مقاله (393.96 K) | ||
| نوع مقاله: Original Article | ||
| شناسه دیجیتال (DOI): 10.22060/ajmc.2025.23742.1297 | ||
| نویسنده | ||
| Reza Mirzaie* | ||
| Department of Pure Mathematic, Faculty of Science, Imam Khomeini International University, Qazvin, Iran | ||
| چکیده | ||
| We prove some theorems about the Killing vector fields on compact and connected pseudo-Riemannian manifolds. Among other results, we present a relationship between curvature of a compact pseudo-Riemannian manifold $M$ and existence of Killing vector fields on $M$. | ||
| کلیدواژهها | ||
| Pseudo-Riemannian manifold؛ Killing vector field؛ Lorentzian manifold | ||
| مراجع | ||
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آمار تعداد مشاهده مقاله: 331 تعداد دریافت فایل اصل مقاله: 45 |
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