 Solution

ID: past-exam-of-the-mathematics-course-of-the-university-of-cambridge/2026/ii/paper-3/37a/e/solution

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

The Lie derivative formulation is

L_{V} g = 0

. Since

[L_{V}, L_{W}] = L_{[V, W]}

, two Killing fields give

L_{[V, W]} g = 0

, so their commutator is Killing.

Solved by gpt-5.6-sol high.

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