Geodesic deviation equation

  1. Hi...does anyone have a good description (or a link to it) on geodesic deviation equation?Most of the references i have are in a setting of relativity, which make me all at sea.

    Please help me if you know a mathematical characterization of how geodesics from one point deviate (which just involves the Riemannian curvature tensor).

    Thanks a bunch!
    Last edited: Nov 6, 2007
  2. jcsd
  3. Chris Hillman

    Chris Hillman 2,332
    Science Advisor

    That's the Jacobi geodesic deviation formula, which is discussed in many textbooks on Riemannian geometry (the Lorentzian version is almost identical).
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