What does the Riemann curvature tensor equation mean?

[avery]

hi,


I am trying to understand the meaning of the following equation in the simplest way possible
https://public.blu.livefilestore.com/y1pWwu86vlTmLHRY35RBhm3I55eYrMWCtWPmdVjAM807ltH2EfInsaFIBk6nCFhnIdwno9Mz4Oa4qWC8Zv9xND3KA/tensorp.png?psid=1

thanks in advance

 

[latentcorpse]

hi,


I am trying to understand the meaning of the following equation in the simplest way possible
https://public.blu.livefilestore.com/y1pWwu86vlTmLHRY35RBhm3I55eYrMWCtWPmdVjAM807ltH2EfInsaFIBk6nCFhnIdwno9Mz4Oa4qWC8Zv9xND3KA/tensorp.png?psid=1

thanks in advance

It should read $A^\mu = g^{\mu \nu} A_\nu$

Your original equation didn't have matching free indices.

 

[avery]

thank you latentcorpse

could you please explain the meaning of that equation