2. (30 points) Prove the following identities for the Riemann curvature tensor (10 points per each), (2) 1) 2) 3) Raß =
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2. (30 points) Prove the following identities for the Riemann curvature tensor (10 points per each), (2) 1) 2) 3) Raß =
2. (30 points) Prove the following identities for the Riemann curvature tensor (10 points per each), (2) 1) 2) 3) Raß = Rp Raps + R Rau Rapur + R Rady = 0. -0. ( Hint: Local flatness theorem can be used for proof.]
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