Riemann Tensor

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Lesson 10: Riemann Tensor
  1. Vaibhav Tiwari
  2. general relativity
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Sir I think you are applying parallel transport rule on parallelogram which is in flat space I think OK it is not correct because christoffel symbol and parallel transport rule is applying on curvilinear plane

madhavsingh
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A mathematical object is a tensor or not a tensor depending on how it transforms with respect to a new coordinate system which is a function of the old. It needs to transform as a covariant n rank or contravariant k rank or a mixer. The Riemann Tensor transforms like a 1 contravaiant and 3 covariant tensor would.    

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