In a pseudo-Riemannian manifold $(M,g)$, a vector field $X$ is a geodesic vector field if
$$ \nabla_X X=fX, $$being $\nabla$ the Levi-Civita connection.
The integral curves are pregeodesics.
________________________________________
________________________________________
________________________________________
Author of the notes: Antonio J. Pan-Collantes
INDEX: