Manifolds which are Ivanov-Petrova or k-Stanilov
Differential Geometry
2007-05-23 v1
Abstract
We present some examples of curvature homogeneous pseudo-Riemannian manifolds which are k-spacelike Jordan Stanilov; their higher order curvature operator has constant Jordan normal form on the Grassmannian of unoriented k-dimensional spacelike subspaces of the tangent plane.
Keywords
Cite
@article{arxiv.math/0310118,
title = {Manifolds which are Ivanov-Petrova or k-Stanilov},
author = {P. Gilkey and S. Nikcevic and V. Videv},
journal= {arXiv preprint arXiv:math/0310118},
year = {2007}
}