Three-dimensional Ricci solitons which project to surfaces
Differential Geometry
2007-05-23 v1 Geometric Topology
Abstract
We study -dimensional Ricci solitons which project via a semi-conformal mapping to a surface. We reformulate the equations in terms of parameters of the map; this enables us to give an ansatz for constructing solitons in terms of data on the surface. A complete description of the soliton structures on all the -dimensional geometries is given, in particular, non-gradient solitons are found on Nil and Sol.
Cite
@article{arxiv.math/0510313,
title = {Three-dimensional Ricci solitons which project to surfaces},
author = {Paul Baird and Laurent Danielo},
journal= {arXiv preprint arXiv:math/0510313},
year = {2007}
}
Comments
28 pages