English

The affine quasi-Einstein Equation for homogeneous surfaces

Differential Geometry 2017-07-21 v1

Abstract

We study the affine quasi-Einstein Equation for homogeneous surfaces. This gives rise through the modified Riemannian extension to new half conformally flat generalized quasi-Einstein neutral signature (2,2)(2,2) manifolds, to conformally Einstein manifolds and also to new Einstein manifolds through a warped product construction.

Keywords

Cite

@article{arxiv.1707.06304,
  title  = {The affine quasi-Einstein Equation for homogeneous surfaces},
  author = {Miguel Brozos-Vázquez and Eduardo García-Río and Peter Gilkey and Xabier Valle-Regueiro},
  journal= {arXiv preprint arXiv:1707.06304},
  year   = {2017}
}
R2 v1 2026-06-22T20:52:20.675Z