On the Geometry of Tangent Bundles with the Rescaled Metric

Details On the Geometry of Tangent Bundles with the Rescaled Metric On the Geometry of Tangent Bundles with the Rescaled Metric

2011-04-29

arxiv.org/abs/1104.5584v1

Mathematics

Differential Geometry

Scientific paper

For a Riemannian manifold $M$, we determine some curvature properties of a
tangent bundle equipped with the rescaled metric.The main aim of this paper is
to give explicit formulae for the rescaled metric on $TM$, and investigate the
geodesics on the tangent bundle with respect to the rescaled Sasaki metric.

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