Isometry groups of k-curvature homogeneous pseudo-Riemannian manifolds
Differential Geometry
2007-05-23 v1
Abstract
We study the isometry groups and Killing vector fields of a family of pseudo-Riemannian metrics on Euclidean space which have neutral signature (3+2p,3+2p). All are p+2 curvature homogeneous, all have vanishing Weyl scalar invariants, all are geodesically complete, and all are 0-curvature modeled on an indecomposible symmetric space. Some of these manifolds are not p+3 curvature homogeneous. Some are homogeneous but not symmetric.
Keywords
Cite
@article{arxiv.math/0505598,
title = {Isometry groups of k-curvature homogeneous pseudo-Riemannian manifolds},
author = {P. Gilkey and S. Nikcevic},
journal= {arXiv preprint arXiv:math/0505598},
year = {2007}
}