Jacobi Fields: Curvature, Conjugate Points, and the Stability of Geodesics

We unpack Jacobi fields along geodesics as the link between curvature and how nearby paths behave. From the sphere’s converging/diverging geodesics to negative curvature and chaotic divergence, we explore the Jacobi equation, conjugate points, and how these ideas illuminate stability, shortest paths, and even concepts in general relativity.Note:  This podcast was AI-generated, and sometimes AI can make mistakes.  Please double-check any critical information.Sponsored by Embersilk LLC