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A note on exponentially harmonicmorphisms

Published online by Cambridge University Press:  07 August 2001

Eric Loubeau  and
Stefano Montaldo
Eric Loubeau
Affiliation:
Université de Bretagne Occidentale, UFR Sciences et Techniques, Departement de Mathematiques, 6, Avenue Victor Le Gorgeu, BP 809, 29285 Brest Cedex, France Email: loubeau@univ-brest.fr
Stefano Montaldo
Affiliation:
University of Leeds, Department of Pure Mathematics, LS2 9JT Leeds, UK Email:pmtms@amsta.leeds.ac.uk
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Abstract

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We prove that exponentially harmonic morphisms are precisely the Riemannian submersions with minimal fibres.

1991 Mathematics Subject Classification 58E20.

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 42 , Issue 1 , March 2000 , pp. 25 - 29
Copyright
2000 Glasgow Mathematical Journal Trust