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Harmonic sections of homogeneous fibre bundles

Wood, C.M. (2003) Harmonic sections of homogeneous fibre bundles. Differential Geometry and its Applications, 19 (2). pp. 193-210. ISSN 0926-2245

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Abstract

We show how the equations for harmonic maps into homogeneous spaces generalize to harmonic sections of homogeneous fibre bundles. Surprisingly, the generalization does not explicitly involve the curvature of the bundle. However, a number of special cases of the harmonic section equations (including the new condition of super-flatness) are studied in which the bundle curvature does appear. Some examples are given to illustrate these special cases in the non-flat environment. The bundle in question is the twistor bundle of an even-dimensional Riemannian manifold M whose sections are the almost-Hermitian structures of M.

Item Type: Article
Academic Units: The University of York > Mathematics (York)
Depositing User: York RAE Import
Date Deposited: 23 Jun 2009 12:33
Last Modified: 23 Jun 2009 12:33
Published Version: http://dx.doi.org/10.1016/S0926-2245(03)00021-4
Status: Published
Publisher: Elsevier Science B.V., Amsterdam.
Identification Number: 10.1016/S0926-2245(03)00021-4
URI: http://eprints.whiterose.ac.uk/id/eprint/5959

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