  We consider the moduli space $\mathscr{N}$ of stable vector bundles of degree
$0$ over a compact Riemann surface and the affine bundle
$\mathscr{A}\to\mathscr{N}$ of flat connections. Following the similarity
between the Teichm\"{u}ller spaces and the moduli of bundles, we introduce the
analogue of of the quasi-Fuchsian projective connections - local holomorphic
sections of $\mathscr{A}$ - that allow to pull back the Liouville symplectic
form on $T^{*}\mathscr{N}$ to $\mathscr{A}$. We prove that the pullback of the
Goldman form to $\mathscr{A}$ by the Riemann-Hilbert correspondence coincides
with the pullback of the Liouville form. We also include a simple proof, in the
spirit of Riemann bilinear relations, of the classic result - the pullback of
Goldman symplectic form to $\mathscr{N}$ by the Narasimhan-Seshadri connection
is the natural symplectic form on $\mathscr{N}$, introduced by Narasimhan and
Atiyah & Bott.
