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

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

2009-12-26

arxiv.org/abs/0912.5036v1

Mathematics

Differential Geometry

15 pages

Scientific paper

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.

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