Harmonic vector fields on pseudo-Riemannian manifolds
Differential Geometry
2016-10-31 v2
Abstract
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 used to correlate harmonic vector fields on the quadrics of neutral signature.
Keywords
Cite
@article{arxiv.1501.01622,
title = {Harmonic vector fields on pseudo-Riemannian manifolds},
author = {R. M. Friswell and C. M. Wood},
journal= {arXiv preprint arXiv:1501.01622},
year = {2016}
}
Comments
20 pages