Jacobi Field

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High Quality Content by WIKIPEDIA articles! 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.In mathematics a vector field is a construction in vector calculus which associates a vector to every point in a subset of Euclidean space. Vector fields are often used in physics to model, for example, the speed and direction of a moving fluid throughout space, or the strength and direction of some force, such as the magnetic or gravitational force, as it changes from point to point.

Weitere Informationen

  • Allgemeine Informationen
    • GTIN 09786131148033
    • Editor Lambert M. Surhone, Miriam T. Timpledon, Susan F. Marseken
    • EAN 9786131148033
    • Format Fachbuch
    • Titel Jacobi Field
    • Herausgeber Betascript Publishing
    • Anzahl Seiten 80
    • Genre Mathematik

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