Research output: Contribution to journal › Article
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Journal | Journal of Geometry and Physics |
---|---|
Date | Accepted/In press - 18 Oct 2016 |
Date | E-pub ahead of print - 27 Oct 2016 |
Date | Published (current) - Feb 2017 |
Volume | 112 |
Number of pages | 14 |
Pages (from-to) | 45-58 |
Early online date | 27/10/16 |
Original language | English |
The theory of harmonic vector fields on Riemannian manifolds is generalised to pseudo-Riemannian manifolds. The congruence structure of conformal gradient fields on pseudo-Riemannian hyperquadrics and Killing fields on pseudo-Riemannian quadrics is elucidated, and harmonic vector fields of these two types are classified up to congruence. A para-Kähler twisted anti-isometry is used to correlate harmonic vector fields on the quadrics of neutral signature.
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