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Harmonic maps and cosymplectic manifolds

Part of: Variational problems in infinite-dimensional spaces Global differential geometry

Published online by Cambridge University Press:  09 April 2009

E. Boeckx  and
C. Gherghe
E. Boeckx
Affiliation:
Katholieke Universiteit Leuven, Department of Mathematics Celestijnenlaan, 200B 3001 Leuven, Belgium e-mail: eric.boeckx@wis.kuleuven.ac.be
C. Gherghe
Affiliation:
University of Bucharest, Faculty of Mathematics Str. Academiei 14 70109 Bucharest, Romania, e-mail: gherghe@gta.math.unibuc.ro
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Abstract

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We study the harmonicity of maps to or from cosymplectic manifolds by relating them to maps to or from Kähler spaces.

Keywords

cosymplectic manifoldsharmonic mapsenergy(ϕ, J)-holomorphic maps, ϕ-pluriharmonic maps

MSC classification

Secondary: 53C25: Special Riemannian manifolds (Einstein, Sasakian, etc.) 53C43: Differential geometric aspects of harmonic maps 58E20: Harmonic maps , etc.
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 76 , Issue 1 , February 2004 , pp. 75 - 92
Copyright
Copyright © Australian Mathematical Society 2004

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