I was reading on Jacobi field of a geodesic, and noticed that given a geodesic $\gamma$ it is defined using the term of variation or family of geodesics $\gamma_s$ but never mentioned how to create such a family that admits the terms. I couldn't fin such an explanation in any book.
2026-04-02 03:47:46.1775101666
Variation of geodesic and Jacobi field
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