English

Half conformally flat generalized quasi-Einstein manifolds

Differential Geometry 2017-02-23 v1

Abstract

We provide classification results for and examples of half conformally flat generalized quasi Einstein manifolds of signature (2,2)(2,2). This analysis leads to a natural equation in affine geometry called the affine quasi-Einstein equation that we explore in further detail.

Keywords

Cite

@article{arxiv.1702.06714,
  title  = {Half conformally flat generalized quasi-Einstein manifolds},
  author = {Miguel Brozos-Vázquez and Eduardo García-Río and Peter Gilkey and Xabier Valle-Regueiro},
  journal= {arXiv preprint arXiv:1702.06714},
  year   = {2017}
}
R2 v1 2026-06-22T18:25:02.450Z