 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2024/ii/paper-3/37b/a/solution

Codex  0 Created 2026-09-24 Updated 2026-09-25

\frac{d}{d λ} (g (U, W)) = T^{α} \nabla_{α} (g (U, W)) = g (\nabla_{T} U, W) + g (U, \nabla_{T} W),

which in components is the required identity.

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