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SOME REMARKS ON TRANSVERSALLY HARMONIC MAPS

Published online by Cambridge University Press:  01 January 2008

JERZY J. KONDERAK  and
ROBERT WOLAK
JERZY J. KONDERAK
Affiliation:
Instutyt Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, 30059 Kraków, Poland e-mail: robert.wolak@im.uj.edu.pl
ROBERT WOLAK
Affiliation:
Instutyt Matematyki, Uniwersytet Jagielloński, ul. Reymonta 4, 30059 Kraków, Poland e-mail: robert.wolak@im.uj.edu.pl
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Abstract

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We consider transversally harmonic foliated maps between two Riemannian manifolds equipped with Riemannian foliations. We give various characterisations of such maps and we study the relation between the properties ‘harmonic’ and ‘transversally harmonic’ for a given map. We also consider these problems for particular classes of manifolds: manifolds with transversally almost Hermitian foliations and Riemannian flows.

Keywords

53C1258E20
Type
Research Article
Information
Glasgow Mathematical Journal , Volume 50 , Issue 1 , January 2008 , pp. 1 - 16
Copyright
Copyright © Glasgow Mathematical Journal Trust 2008

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