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

M. Benyounes·E. Loubeau·C. M. Wood
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Abstract

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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M. Benyounes, E. Loubeau, C. M. Wood. 2006-02-02. Harmonic sections of Riemannian vector bundles, and metrics of Cheeger-Gromoll type. https://arxiv.org/abs/math/0602049

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