English

Notes on the Jacobi equation

Differential Geometry 2008-07-02 v2

Abstract

We discuss some properties of Jacobi fields that do not involve assumptions on the curvature endomorphism. We compare indices of different spaces of Jacobi fields and give some applications to Riemannian geometry.

Keywords

Cite

@article{arxiv.0708.2651,
  title  = {Notes on the Jacobi equation},
  author = {Alexander Lytchak},
  journal= {arXiv preprint arXiv:0708.2651},
  year   = {2008}
}

Comments

10 Pages, typos corrected, references added

R2 v1 2026-06-21T09:08:55.957Z