I was reading the article "Symplectic structures on Banach manifolds" by Alan Weinstein. In this article there is one theorem, which is as following:
If $B$ is a zero neighborhood in Banach space. Let $\Omega$ be a symplectic form on this banach space. Let $\Omega_1$ be the symplectic structure on $B$ which is constant with respect to the natural parallelism on $B$ and equal to $\Omega$, at $0$ then...
I want to understand the meaning of natural parallelism here.