Asymptotics of the Admissible Growth of the Coefficient of Quasiconformality at Infinity and Injectivity of Immersions of Riemannian Manifolds

V._A. Zorich

We present sharp asymptotics of the admissible growth for the quasiconformality coefficient in the general global homeomorphism theorem. The theorem applies to noncompact Riemannian manifolds of conformally parabolic type and of dimension greater than two.