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arxiv: math/0506071 · v2 · submitted 2005-06-03 · 🧮 math.DG

Jacobi fields on normal homogeneous Riemannian manifolds

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keywords alongfieldgeodesichomogeneousjacobinormalspaceevery
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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.

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