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Diagonal Lift in the Tangent Bundle of Order Two and its Applications
Tangent bundle of order two Riemannian metric Diagonal lift Levi-civita connection Killing vector field Geodesic
2010/2/26
In this paper we define a diagonal lift Dg of Riemannian metric g of manifold Mn to the tangent bundle of order two denoted by T2Mn of Mn, we associate to Dg its Levi-civita connection of T2 M and we ...
Diagonal Lift in the Cotangent Bundle and its Applications
Cotangent bundle Riemannian metric diagonal lift Levi-Civita connection B-manifold Killing vector field geodesic
2010/3/1
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 conne...