Correction: Alshehri, N.; Guediri, M. Projective Vector Fields on Semi-Riemannian Manifolds. Mathematics 2024, 12, 2914

In our recent paper [1], we stated in Theorem 10 that on an n-dimensional semi-Riemannian manifold $(N,h)$ with $n\ge 2$, if P is a projective vector field that is also conformal, satisfying ${\pounds }_{P}h=2\psi h$, and the vector field $\zeta$, dual to $d\psi$, maintains a consistent causal character, then either P is homothetic or $\zeta$ is light-like