English

Manifolds with commuting Jacobi operators

Differential Geometry 2007-05-23 v1

Abstract

We characterize Riemannian manifolds of constant sectional curvature in terms of commutation properties of their Jacobi operators.

Keywords

Cite

@article{arxiv.math/0507554,
  title  = {Manifolds with commuting Jacobi operators},
  author = {M. Brozos-Vazquez and P. Gilkey},
  journal= {arXiv preprint arXiv:math/0507554},
  year   = {2007}
}