  $L^p$-cohomology of rank one symmetric spaces of noncompact type is shown to
be Hausdorff for values of $p$ where this does not follow from curvature
pinching. Using the multiplicative structure on $L^p$-cohomology, it is shown
that no simply connected Riemannian manifold with strictly -1/4-pinched
sectional curvature can be quasiisometric to complex hyperbolic plane.
Unfortunately, the method does not extend to other rank one symmetric spaces.
