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On the Geometry of Tangent Bundles with the Rescaled Metric
Published 29 Apr 2011 in math.DG | (1104.5584v1)
Abstract: 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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