Four dimensional conformal C-spaces
微分几何
2008-06-05 v1
摘要
We investigate the structure of conformal -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.
引用
@article{arxiv.math/0701512,
title = {Four dimensional conformal C-spaces},
author = {A. Rod Gover and Paul-Andi Nagy},
journal= {arXiv preprint arXiv:math/0701512},
year = {2008}
}
备注
19 pages