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June 2012 Some Relationships between the Geometry of the Tangent Bundle and the Geometry of the Riemannian Base Manifold
Guillermo HENRY, Guillermo KEILHAUER
Tokyo J. Math. 35(1): 1-15 (June 2012). DOI: 10.3836/tjm/1342701340

Abstract

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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Guillermo HENRY. Guillermo KEILHAUER. "Some Relationships between the Geometry of the Tangent Bundle and the Geometry of the Riemannian Base Manifold." Tokyo J. Math. 35 (1) 1 - 15, June 2012. https://doi.org/10.3836/tjm/1342701340

Information

Published: June 2012
First available in Project Euclid: 19 July 2012

zbMATH: 1247.53034
MathSciNet: MR2977441
Digital Object Identifier: 10.3836/tjm/1342701340

Subjects:
Primary: 53C20
Secondary: 53A55, 53B21

Rights: Copyright © 2012 Publication Committee for the Tokyo Journal of Mathematics

JOURNAL ARTICLE
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Vol.35 • No. 1 • June 2012
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