Canonical Nonlinear Connections on Jet Bundles of First Order

Details Canonical Nonlinear Connections on Jet Bundles of First Order Canonical Nonlinear Connections on Jet Bundles of First Order

2001-11-14

arxiv.org/abs/math/0111163v1

"d-Metrics and nonlinear connections on 1-jet fibre bundles", Seminarul de Mecanica 84 (2003), 1-12

Mathematics

Differential Geometry

7 pages, Versions of this paper were presented at: -Workshop on Differential Geometry, Global Analysis and Lie Algebras, Arist

Scientific paper

The aim of this paper is to open the problem of construction of a nonlinear connection $\Gamma=(M^{(i)}_{(\alpha)\beta}, N^{(i)}_{(\alpha)j})$ on the jet bundle of first order $J^1(T,M)$, which to be canonically produced by a Kronecker product vertical metrical d-tensor $G^{(\alpha)(\beta)}_{(i)(j)}=h^{\alpha\beta}g_{ij}$, possibly provided by multi-time dependent quadratic Lagrangians coming from various branches of theoretical physics: bosonic strings theory, electrodynamics or elasticity.

Affiliated with

Also associated with

No associations

Rating

Canonical Nonlinear Connections on Jet Bundles of First Order 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 Canonical Nonlinear Connections on Jet Bundles of First Order, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Canonical Nonlinear Connections on Jet Bundles of First Order will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-355769