Curvature tensors whose Jacobi or Szabo operator is nilpotent on null vectors
Differential Geometry
2007-05-23 v1
Abstract
We show that any Osserman Lorentzian algebraic curvature tensor has constant sectional curvature and give an elementary proof that any local 2 point homogeneous Lorentzian manifold has constant sectional curvature. We also show that a Szab\'o Lorentzian covariant derivative algebraic curvature tensor vanishes.
Keywords
Cite
@article{arxiv.math/0205074,
title = {Curvature tensors whose Jacobi or Szabo operator is nilpotent on null vectors},
author = {Peter Gilkey and Iva Stavrov},
journal= {arXiv preprint arXiv:math/0205074},
year = {2007}
}