Jacobi fields on normal homogeneous Riemannian manifolds

Details Jacobi fields on normal homogeneous Riemannian manifolds Jacobi fields on normal homogeneous Riemannian manifolds

2005-06-03

arxiv.org/abs/math/0506071v2

Mathematics

Differential Geometry

This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 1, which completely invalidates the

Scientific paper

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.

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