Half conformally flat generalized quasi-Einstein manifolds
Abstract
We provide classification results for and examples of half conformally flat generalized quasi Einstein manifolds of signature $(2,2)$. This analysis leads to a natural equation in affine geometry called the affine quasi-Einstein equation that we explore in further detail.
- Publication:
-
arXiv e-prints
- Pub Date:
- February 2017
- DOI:
- 10.48550/arXiv.1702.06714
- arXiv:
- arXiv:1702.06714
- Bibcode:
- 2017arXiv170206714B
- Keywords:
-
- Mathematics - Differential Geometry;
- 53C21;
- 53B30;
- 53C24;
- 53C44