Equivalence between the Osserman condition and the Raki\'c duality principle in dimension four
Differential Geometry
2015-05-30 v1
Abstract
We show that 4-dimensional Riemannian manifolds which satisfy the Raki\'c duality principle are Osserman (i.e. the eigenvalues of the Jacobi operator are constant), thus both conditions are equivalent.
Keywords
Cite
@article{arxiv.1109.0386,
title = {Equivalence between the Osserman condition and the Raki\'c duality principle in dimension four},
author = {Miguel Brozos-Vázquez and Eugenio Merino},
journal= {arXiv preprint arXiv:1109.0386},
year = {2015}
}