This article is cited in 19 papers

Quasiconformal Immersions of Riemannian Manifolds and a Picard Type Theorem

V. A. Zorich

M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics

Abstract: We study singularities of quasiconformal immersions of Riemannian manifolds and show that the phenomenon of compulsory continuation holds in dimension $n\ge3$. In particular, this result in a stronger version of the Picard theorem—one without omitted values.

UDC: 517.54+514.774

Received: 18.12.1998

DOI: 10.4213/faa310

 English version: Functional Analysis and Its Applications, 2000, 34:3, 188–196

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