Mathematics – Differential Geometry
Scientific paper
2007-01-18
Q. J. Math. 58 (2007), no. 4, 443--462.
Mathematics
Differential Geometry
19 pages
Scientific paper
We investigate the structure of conformal $C$-spaces,a class of Riemmanian manifolds which naturally arises as aconformal generalisation of the Einstein condition. A basic question is when such a structure is closed, or equivalently locally conformally Cotton. In dimension 4 we obtain a full answer to this question and also investigate the incidence of the Bach condition on this class of metrics. This is related to earlier results obtained in the Einstein-Weyl context.
Gover Rod A.
Nagy Paul-Andi
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