On the geometry of tangent bundles with the metric II+III

A. Gezer; O. Tarakci; A. A. Salimov

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Displaying similar documents to “On the geometry of tangent bundles with the metric II+III”

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The aim of this paper is to investigate para-Nordenian properties of the Sasakian metrics in the cotangent bundle.

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If (M,g) is a Riemannian manifold, we have the well-known base preserving vector bundle isomorphism TM ≅ T∗ M given by υ → g(υ,−) between the tangent TM and the cotangent T∗ M bundles of M. In the present note, we generalize this isomorphism to the one T(r)M ≅ Tr∗ M between the r-th order vector tangent T(r)M = (Jr(M,R)0)∗ and the r-th order cotangent Tr∗ M = Jr(M,R)0 bundles of M. Next, we describe all base preserving vector bundle maps CM(g) : T(r)M → Tr∗ M depending on a Riemannian...

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