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B1
(a) Let A, be a covariant vector. Show explicitly how d;A; transforms under coordinate transformations. (b) Now discuss the transformation properties of 0,A, - d;A; under coordinate transformations. (c) Derive the identity V.V.Wod – V.Vawed + Rabe Wd + Rabe"We* = 0, using the definition of the Riemann curvature tensor.
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Transcribed Image Text:(a) Let A, be a covariant vector. Show explicitly how d;A; transforms under coordinate transformations. (b) Now discuss the transformation properties of 0,A, - d;A; under coordinate transformations. (c) Derive the identity V.V.Wod – V.Vawed + Rabe Wd + Rabe"We* = 0, using the definition of the Riemann curvature tensor.
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