Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type

Details Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type

2006-02-02

arxiv.org/abs/math/0602049v1

Mathematics

Differential Geometry

25 pages

Scientific paper

We study harmonic sections of a Riemannian vector bundle whose total space is
equipped with a 2-parameter family of metrics which includes both the Sasaki
and Cheeger-Gromoll metrics. This enables the theory of harmonic unit sections
to be extended to bundles with non-zero Euler class.

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