Jacobi fields on normal homogeneous Riemannian manifolds

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This paper has been withdrawn by the author, due to a crucial error in the proof of Lemma 1, which completely invalidates the proof of Theorem 1

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Differential Geometry, 57S15; 53C35

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http://salesiana.dossiersoluciones.com/handle/123456789/75402

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0506071
 http://arxiv.org/abs/math/0506071

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arXiv