Connections with skew-symmetric Ricci tensor on surfaces

Abstract

Some known results on torsionfree connections with skew-symmetric Ricci tensor on surfaces are extended to connections with torsion, and Wong's canonical coordinate form of such connections is simplified.

22 pages

Cited by in corpus (6)

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• Bach-flat isotropic gradient Ricci solitons
• Constructing Bach Flat Manifolds of signature $(2,2)$ using the modified Riemannian extension