Symplectic cylinder
= Symplectic cylinder
{title2=$Z^{2n}(R)=B^2(R)\times\mathbb R^{2n-2}$}
The standard symplectic cylinder restricts one conjugate coordinate pair to a disk and leaves the remaining symplectic coordinates unrestricted. Its normalized <symplectic capacity> is $\pi R^2$, despite its infinite <symplectic volume> when $n>1$.