The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M)

Details The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M) The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M)

2011-11-17

arxiv.org/abs/1111.4173v1

Mathematics

Differential Geometry

18 pages

Scientific paper

In this paper we describe the local Ricci and Bianchi identities for an h-normal N-linear connection D\Gamma(N) on the dual 1-jet space J^{1*}(T,M). To reach this aim, we firstly give the expressions of the local distinguished (d-) adapted components of torsion and curvature tensors produced by D\Gamma(N), and then we analyze their attached local Ricci identities. The derived deflection d-tensor identities are also presented. Finally, we expose the local expressions of the Bianchi identities (in the particular case of an h-normal N-linear connection of Cartan type), which geometrically connect the local torsion and curvature d-tensors of the linear connection D\Gamma(N).

Affiliated with

Also associated with

No associations

Rating

The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M) does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M), we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The local description of the Ricci and Bianchi identities for an h-normal N-linear connection on the dual 1-jet space J^{1*}(T,M) will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-350342