Half conformally flat gradient Ricci almost solitons
Differential Geometry
2016-09-28 v1
Abstract
The local structure of half conformally flat gradient Ricci almost solitons is investigated, showing that they are locally conformally flat in a neighborhood of any point where the gradient of the potential function is non-null. In opposition, if the gradient of the potential function is null, then the soliton is a steady traceless -Einstein soliton and is realized on the cotangent bundle of an affine surface.
Cite
@article{arxiv.1601.04837,
title = {Half conformally flat gradient Ricci almost solitons},
author = {M. Brozos-Vázquez and E. García-Río and X. Valle-Regueiro},
journal= {arXiv preprint arXiv:1601.04837},
year = {2016}
}