Jacobi Field

(Riemannian Geometry)

Tech

sciences
Riemannian Geometry
Link to Dbpedia

What is Jacobi field?

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.

Technology Types

equationmathematical statementriemannian geometrystatement

Synonyms

Jacobi equationJacobi vector field

Translations

Campo de Jacobi (pt)Champ de Jacobi (fr)Jacobifeld (de)Поле Якоби (ru)Поле Якобі (uk)

Tech Info


Source: [object Object]
 — Date merged: 11/6/2021, 1:32:53 PM
 — Date scraped: 5/20/2021, 6:19:55 PM