Vol. 202, No. 1, 2002

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Quasiregular mappings and 𝒲𝒯 -classes of differential forms on Riemannian manifolds

D. Franke, O. Martio, V.M. Miklyukov, M. Vuorinen and R. Wisk

Vol. 202 (2002), No. 1, 73–92
Abstract

The purpose of this paper is to study the relations between quasiregular mappings on Riemannian manifolds and differential forms. Four classes of differential forms are introduced and it is shown that some differential expressions connected in a natural way to quasiregular mappings are members in these classes.

Milestones
Received: 15 February 2000
Published: 1 January 2002
Authors
D. Franke
Fachbereich Mathematik und Informatik
Freie Universität Berlin
Arnimallee 2-6,
14195 Berlin
Germany
O. Martio
Mathematics Department
P.O. Box 4 (Yliopistonkatu 5)
FIN-00014 University of Helsinki
Finland
V.M. Miklyukov
ul. Tulaka 2 apt. 120
Volgograd 400119
Russia
M. Vuorinen
Mathematics Department
P.O. Box 4 (Yliopistonkatu 5)
FIN-00014 University of Helsinki
Finland
R. Wisk
Fachbereich Mathematik und Informatik
Freie Universität Berlin
Arnimallee 2-6,
14195 Berlin
Germany