Calculating Degrees of Freedom for Riemann Tensor in D Dimensions

AI Thread Summary
The Riemann tensor in D dimensions has 24 independent components, which can be calculated by manipulating the tensor's indices. The remaining components are dependent on these independent ones and are generally not necessary for computation. The discussion references external resources for further clarification on the topic. Understanding the degrees of freedom in the Riemann tensor is crucial for advanced studies in differential geometry and general relativity. This knowledge aids in grasping the complexities of curvature in various dimensional spaces.
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How many degrees of freedom has Riemann Tensor in general D dimensions and how it can be calculated?
 
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If I remember correctly, the Riemann tensor has 24 independent components. The rest can be calculated by knowing what happens when you flip the indices around. of course, there's no reason you'd want to compute the rest, since there are quite a few of them.
 

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