Let $X$ be a scheme or manifold and $\nabla: V \rightarrow \Omega^1 \otimes V$
be a connection on a vector bundle $V$ on $X$.
Let $R:=\nabla^2$ denote the curvature homomorphism.
Does it hold that $\nabla R =0$?
How does one show this?
Let $X$ be a scheme or manifold and $\nabla: V \rightarrow \Omega^1 \otimes V$
be a connection on a vector bundle $V$ on $X$.
Let $R:=\nabla^2$ denote the curvature homomorphism.
Does it hold that $\nabla R =0$?
How does one show this?