EMIS ELibM Electronic Journals PUBLICATIONS DE L'INSTITUT MATHEMATIQUE (BEOGRAD) (N.S.)
Vol. 75(89), pp. 53–57 (2004)

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ASYMPTOTICS OF THE ADMISSIBLE GROWTH OF THE COEFFICIENT OF QUASICONFORMALITY AT INFINITY AND INJECTIVITY OF IMMERSIONS OF RIEMANNIAN MANIFOLDS

V. A. Zorich

Department of Mathematics (Mech-Math), Moscow State University, 119992 Moscow, Russia

Abstract: 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.

Classification (MSC2000): 30C65; 53C42

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Electronic fulltext finalized on: 27 Oct 2004. This page was last modified: 22 Feb 2005.

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