Three-dimensional Lorentzian homogeneous Ricci solitons
Differential Geometry
2009-11-09 v1 Mathematical Physics
math.MP
Abstract
We describe three-dimensional Lorentzian homogeneous Ricci solitons, showing that all types (i.e. shrinking, expanding and steady) exist. Moreover, all non-trivial examples have non-diagonalizable Ricci operator with one only eigenvalue.
Keywords
Cite
@article{arxiv.0911.1247,
title = {Three-dimensional Lorentzian homogeneous Ricci solitons},
author = {M. Brozos-Vazquez and G. Calvaruso and E. Garcia-Rio and S. Gavino-Fernandez},
journal= {arXiv preprint arXiv:0911.1247},
year = {2009}
}