Hi everyone,
I have an issue with Simplification that I hope you could clear.
By contracting RiemannCD[a,m,n,p] with the identity RiemannCD[b,-m,-n,-p]+RiemannCD[b,-n,-p,-m]+RiemannCD[b,-p,-m,-n]=0 it is easy to prove that RiemannCD[a,m,n,p] RiemannCD[b,-m,-n,-p]= 2RiemannCD[a,m,n,p] RiemannCD[b,-n,-m,-p]
As it is due to Bianchi identity, Simplification or FullSimplification acting on RiemannCD[a,m,n,p] RiemannCD[b,-m,-n,-p] - 2RiemannCD[a,m,n,p] RiemannCD[b,-n,-m,-p] should return zero but it is not.
I am not sure if it is not programmed and I should make an automatic rule or if there is some other instruction that I could use in order to simplify this expression.
Hope you can help me.