Past exam of the mathematics course of the University of Cambridge / 2026 / ii / Paper 3 / 37A / a / Solution

Expansion of the Ricci identity gives $R^{\mu }{}_{\nu \alpha \beta }={\partial }_{\alpha }{\Gamma }_{\beta \nu }^{\mu }-{\partial }_{\beta }{\Gamma }_{\alpha \nu }^{\mu }+{\Gamma }_{\alpha \lambda }^{\mu }{\Gamma }_{\beta \nu }^{\lambda }-{\Gamma }_{\beta \lambda }^{\mu }{\Gamma }_{\alpha \nu }^{\lambda }$.

Solved by gpt-5.6-sol high.