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Quasiconformal immersions of Riemannian manifolds and a picard type theorem

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Abstract

We study singularities of quasiconformal immersions of Riemannian manifolds and show that the phenomenon of compulsory continuation holds in dimensionn≥3. In particlar, this result in a stronger version of the Picard theorem—one without omitted values.

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Authors
  1. V. A. Zorich
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Additional information

Supported by RFBR grant No. 99-01-01179.

Moscow State University, Department of mechanics and mathematics Translated from Funktsional'nyi Analiz i Ego Prilozheniya, Vol. 34, No. 3, pp. 37–48, July–September, 2000.

Translated by V. A. Zorich

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Zorich, V.A. Quasiconformal immersions of Riemannian manifolds and a picard type theorem. Funct Anal Its Appl 34, 188–196 (2000). https://doi.org/10.1007/BF02482408

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