Canonical Nonlinear Connections on Jet Bundles of First Order

Mircea Neagu

Canonical Nonlinear Connections on Jet Bundles of First Order

Differential Geometry 2010-07-29 v1 Algebraic Geometry

Authors: Mircea Neagu

Abstract

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.

Keywords

nonlinear connection jet bundle metrical d-tensor kronecker product differential geometry

Cite

@article{arxiv.math/0111163,
  title  = {Canonical Nonlinear Connections on Jet Bundles of First Order},
  author = {Mircea Neagu},
  journal= {arXiv preprint arXiv:math/0111163},
  year   = {2010}
}

Comments

7 pages, Versions of this paper were presented at: -Workshop on Differential Geometry, Global Analysis and Lie Algebras, Aristotle University of Thessaloniki, Greece, Aug. 28-Sept. 2, 2000; -Seminar "Gh. Vranceanu", University of Bucharest, Romania, November, 2000

Canonical Nonlinear Connections on Jet Bundles of First Order

Abstract

Keywords

Cite

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