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arXiv:1501.01622 [math.DG]AbstractReferencesReviewsResources

Harmonic vector fields on pseudo-Riemannian manifolds

R. M. Friswell, C. M. Wood

Published 2015-01-07Version 1

The theory of harmonic vector fields on Riemannian manifolds is generalised to pseudo-Riemannian manifolds. Harmonic conformal gradient fields on pseudo-Euclidean hyperquadrics are classified up to congruence, as are harmonic Killing fields on pseudo-Riemannian quadrics. A para-Kaehler twisted anti-isometry is be used to correlate harmonic vector fields on the quadrics of neutral signature.

Comments: 18 pages
Categories: math.DG
Subjects: 53C07, 53C20, 53C43, 53C50, 58E20, 58E30
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