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--- harmonic_map [2022/09/01 09:16] – [Second variation formula] spencer
+++ harmonic_map [2022/09/01 13:05] (current) – spencer
@@ Line 25: / Line 25: @@
 See (3.38), Eells & Lemaire.
+**Claim:** If $u_t$ is a family of harmonic maps, then $\left.\frac{\partial u_t}{\partial t}\right\rvert_{t=0}$ is a Jacobi field $J_u$.
+**Proof:**
+We ob