Non-Walker Self-Dual Neutral Einstein Four-Manifolds of Petrov Type III
Differential Geometry
2011-06-07 v2
Abstract
The local structure of the manifolds named in the title is described. Although curvature homogeneous, they are not, in general, locally homogeneous. Not all of them are Ricci-flat, which answers an existence question about type III Jordan-Osserman metrics, raised by Diaz-Ramos, Garcia-Rio and Vazquez-Lorenzo (2006).
Keywords
Cite
@article{arxiv.0809.0855,
title = {Non-Walker Self-Dual Neutral Einstein Four-Manifolds of Petrov Type III},
author = {Andrzej Derdzinski},
journal= {arXiv preprint arXiv:0809.0855},
year = {2011}
}
Comments
47 pages; a reference and a grant number were added