Quasiregular Mappings from Rn to Closed Orientable n-Manifolds

Jorma Jormakka
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Jorma Jormakka: University of Helsinki, Department of Mathematics

A chapter in Deformations of Mathematical Structures, 1989, pp 33-44 from Springer

Abstract: Abstract The growth of the fundamental group of a Riemannian manifold can be used to prove the nonexistence of quasiregular mappings from the Euclidean space to the manifold. Some constructive methods provide existence results. This paper is a preliminary report on a study of these problems.

Keywords: Fundamental Group; Heisenberg Group; Isoperimetric Inequality; Polynomial Growth; Lens Space (search for similar items in EconPapers)
Date: 1989
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-94-009-2643-1_3

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DOI: 10.1007/978-94-009-2643-1_3

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