Pseudo-Riemannian manifolds with Commuting Jacobi Operators
Differential Geometry
2007-05-23 v1
Abstract
We study the geometry of pseudo-Riemannian manifolds which are Jacobi--Tsankov, i.e. J(x)J(y)=J(y)J(x) for all tangent vectors x and y. We also study manifolds which are 2-step Jacobi nilpotent, i.e. J(x)J(y)=0 for all tangent vectors x and y.
Keywords
Cite
@article{arxiv.math/0608707,
title = {Pseudo-Riemannian manifolds with Commuting Jacobi Operators},
author = {M. Brozos-Vazquez and P. Gilkey},
journal= {arXiv preprint arXiv:math/0608707},
year = {2007}
}