Calculating Degrees of Freedom for Riemann Tensor in D Dimensions

[Stas]

How many degrees of freedom has Riemann Tensor in general D dimensions and how it can be calculated?

 

[cristo]

This page should answer your questions: http://mathworld.wolfram.com/RiemannTensor.html

 

[Stas]

thank u!

 

[arunma]

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.

 

[maidens]

http://www.maths.tcd.ie/~houghton/TEACHING/442/notes/22Oct2002c2.ps