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 $M$.
Mirzaie,R. (2025). On compact pseudo-Riemannian manifolds admitting Killing vector fields. (e5695). AUT Journal of Mathematics and Computing, (), e5695 doi: 10.22060/ajmc.2025.23742.1297
MLA
Mirzaie,R. . "On compact pseudo-Riemannian manifolds admitting Killing vector fields" .e5695 , AUT Journal of Mathematics and Computing, , , 2025, e5695. doi: 10.22060/ajmc.2025.23742.1297
HARVARD
Mirzaie R. (2025). 'On compact pseudo-Riemannian manifolds admitting Killing vector fields', AUT Journal of Mathematics and Computing, (), e5695. doi: 10.22060/ajmc.2025.23742.1297
CHICAGO
R. Mirzaie, "On compact pseudo-Riemannian manifolds admitting Killing vector fields," AUT Journal of Mathematics and Computing, (2025): e5695, doi: 10.22060/ajmc.2025.23742.1297
VANCOUVER
Mirzaie R. On compact pseudo-Riemannian manifolds admitting Killing vector fields. AUT J Math Comput, 2025; (): e5695. doi: 10.22060/ajmc.2025.23742.1297
