Complete curvature homogeneous pseudo-Riemannian manifolds
Differential Geometry
2009-11-10 v2 Mathematical Physics
math.MP
Abstract
We exhibit 3 families of complete curvature homogeneous pseudo-Riemannian manifolds which are modeled on irreducible symmetric spaces and which are not locally homogeneous. All of the manifolds have nilpotent Jacobi operators; some of the manifolds are, in addition, Jordan Osserman and Jordan Ivanov-Petrova.
Keywords
Cite
@article{arxiv.math/0402282,
title = {Complete curvature homogeneous pseudo-Riemannian manifolds},
author = {P. Gilkey and S. Nikcevic},
journal= {arXiv preprint arXiv:math/0402282},
year = {2009}
}
Comments
Update paper to fix misprints in original version