In Riemannian geometry, a Jacobi field is a vector field along a geodesic 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 Jacobi.
Read more about Jacobi Field: Definitions and Properties, Motivating Example, Solving The Jacobi Equation, Examples
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—Mary Putnam Jacobi (1842–1906)
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