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math.DG2020
On Twistor Almost Complex Structures
Michel Cahen, Simone Gutt, John Rawnsley
In this paper we look at the question of integrability, or not, of the two natural almost complex structures defined on the twistor space of an even-dimen…
math.DG2007
Affine connections with W=0
Francis Burstall, John Rawnsley
For a torsionless connection on the tangent bundle of a manifold M the Weyl curvature W is the part of the curvature in kernel of the Ricci contraction. We give a coordinate free p…