- Turkish Journal of Mathematics
- Vol: 25 Issue: 4
- Diagonal Lift in the Cotangent Bundle and its Applications
Diagonal Lift in the Cotangent Bundle and its Applications
Authors : Sezgin Akbulut
Pages : 491-502
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Publication Date : 9999-12-31
Article Type : Makaleler
Abstract :The purpose of this paper is to define a diagonal lift \mathcal{D }g of a Riemannian metric g of a manifold Mn to the cotangent bundle T*(Mn) of Mn, to associate with \mathcal{D}g an Levi-Civita connection of T*(Mn) in a natural way and to investigate applications of the diagonal lifts.Keywords : Cotangent bundle, Riemannian metric, diagonal lift, Levi-Civita connection, B-manifold, Killing vector field, geodesic.