Published January 1, 2009 | Version v1
Journal article Open

Geodesics of Sasakian Metrics on Tensor Bundles

  • 1. Ataturk Univ, Fac Sci & Arts, Dept Math, TR-25240 Erzurum, Turkey

Description

On the basis of the phase completion the notion of vertical and horizontal lifts of vector fields is defined in the tensor bundles over a Riemannian manifold. Such a tensor bundle is made into a manifold with a Riemannian structure of special type by endowing it with Sasakian metric. The components of the Levi-Civita and other metric connections with respect to Sasakian metrics on tensor bundles with respect to the adapted frame are presented. This having been done, it is shown that it is possible to study geodesics of Sasakian metrics dealing with geodesics of the base manifolds.

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