Wikipedia gives the definition of a Killing tensor.
Unfortunately, I don't know how to interpret the parentheses (it is also not explicitly explained in the link) and was therefore wondering whether anybody here could help me out?
2026-03-27 11:42:43.1774611763
What is a Killing tensor?
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In local coordinates I think this is $$0 = \nabla_{( \alpha} K_{\beta \gamma)} = \nabla_{\alpha} K_{\beta \gamma} + \nabla_{\gamma} K_{\alpha \beta} + \nabla_{\beta} K_{\gamma \alpha}$$