On compact pseudo-Riemannian manifolds admitting Killing vector fields
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 $M$.
Authors
- R. Mirzaie (ORCID: https://orcid.org/0000-0002-9480-0222)
Publication Details
- Journal
- DOAJ (DOAJ: Directory of Open Access Journals)
- Published
- 2026-10-01
- DOI
- https://doi.org/10.22060/ajmc.2025.23742.1297
- Primary Topic
- Geometric Analysis and Curvature Flows
- Type
- article
- Field-Weighted Citation Impact
- 0.00