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arXiv:0912.5036 [math.DG]AbstractReferencesReviewsResources

Some relationships between the geometry of the tangent bundle and the geometry of the Riemannian base manifold

Guillermo Henry, Guillermo Keilhauer

Published 2009-12-26Version 1

We compute the curvature tensor of the tangent bundle of a Riemannian manifold endowed with a natural metric and we get some relationships between the geometry of the base manifold and the geometry of the tangent bundle.

Comments: 15 pages
Categories: math.DG
Subjects: 53C20, 53B21, 53A55
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