  Let $M$ be a compact orientable Seifered fibered 3-manifold without a
boundary, and $\alpha$ an $S^1$-invariant contact form on $M$. In a suitable
adapted Riemannian metric to $\alpha$, we provide a bound for the volume
$\text{Vol}(M)$ and the curvature, which implies the universal tightness of the
contact structure $\xi=\ker\alpha$.
