Research any topic before you write.
Find related topics. | Discover entities. | See connections. | Build a topical map.
Jacobi field: Definitions and properties, Motivating example & Solving the Jacobi equation
In Riemannian geometry, a Jacobi field is a vector field along a geodesic γ {\displaystyle \gamma } 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…
Language: English [EN]
