Editing Jacobi field (section)

{{Short description|Vector field in Riemannian geometry}}
In [[Riemannian geometry]], a '''Jacobi field''' is a [[vector field]] along a [[geodesic]] <math>\gamma</math> in a [[Riemannian manifold]] describing the difference between the geodesic and an "infinitesimally close" geodesic. In other words, the Jacobi fields along a geodesic form the tangent space to the geodesic in the space of all geodesics. They are named after [[Carl Gustav Jacob Jacobi|Carl Jacobi]].