Jacobi fields on normal homogeneous Riemannian manifolds
Differential Geometry
2007-05-23 v2
Abstract
We prove that a normal homogeneous space with the property that every Jacobi field along a geodesic vanishing at two points is the restriction of a Killing field along that geodesic is a globally symmetric space.
Cite
@article{arxiv.math/0506071,
title = {Jacobi fields on normal homogeneous Riemannian manifolds},
author = {Claudio Gorodski},
journal= {arXiv preprint arXiv:math/0506071},
year = {2007}
}
Comments
This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 1, which completely invalidates the proof of Theorem 1