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

2006/02/02 by M. Benyounes, Benyounes, M., E. Loubeau +3
Mathematics · #53C07 #53C24 #53C43 #58E15 #58E20 #58G30 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C07 #msc:53C24 #msc:53C43 #msc:58E15 #msc:58E20 #msc:58G30

paper · pdf · doi:10.48550/arxiv.math/0602049

25 pages

arxiv created 2006/02/02 · arxiv updated 2009/12/01

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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