Geometrical representations of equiaffine curvature operators
Differential Geometry
2008-02-05 v1
Abstract
We examine geometric representability results for various classes of equiaffine curvature operators. We show every Ricci flat algebraic curvature operator is geometrically realizable by a Ricci flat torsion free connection on the tangent bundle of some smooth manifold.
Cite
@article{arxiv.0802.0265,
title = {Geometrical representations of equiaffine curvature operators},
author = {Peter B. Gilkey and Stana Nikcevic},
journal= {arXiv preprint arXiv:0802.0265},
year = {2008}
}