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Bianchi type II,III and V diagonal Einstein metrics re-visited
diagonal Einstein metrics re-visited minkowskian and euclidean
2010/4/2
We present, for both minkowskian and euclidean signatures, short derivations of the diagonal Einstein metrics for Bianchi type II, III and V. For the first two cases we show the integrability of the g...
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...