Tokyo Journal of Mathematics
- Tokyo J. Math.
- Volume 35, Number 1 (2012), 1-15.
Some Relationships between the Geometry of the Tangent Bundle and the Geometry of the Riemannian Base Manifold
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.
Tokyo J. Math., Volume 35, Number 1 (2012), 1-15.
First available in Project Euclid: 19 July 2012
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 53C20: Global Riemannian geometry, including pinching [See also 31C12, 58B20]
Secondary: 53B21: Methods of Riemannian geometry 53A55: Differential invariants (local theory), geometric objects
HENRY, Guillermo; KEILHAUER, Guillermo. Some Relationships between the Geometry of the Tangent Bundle and the Geometry of the Riemannian Base Manifold. Tokyo J. Math. 35 (2012), no. 1, 1--15. doi:10.3836/tjm/1342701340. https://projecteuclid.org/euclid.tjm/1342701340