  The aim of this paper is to establish exponential mixing of frame flows for
convex cocompact hyperbolic manifolds of arbitrary dimension with respect to
the Bowen-Margulis-Sullivan measure. Some immediate applications include an
asymptotic formula for matrix coefficients with an exponential error term as
well as the exponential equidistribution of holonomy of closed geodesics. The
main technical result is a spectral bound on transfer operators twisted by
holonomy, which we obtain by building on Dolgopyat's method.
