中文

一阶 jet 丛上的典范非线性联络

微分几何 2010-07-29 v1 代数几何

摘要

本文旨在提出在一阶 jet 丛 J1(T,M)J^1(T,M) 上构造非线性联络 Γ=(M(α)β(i),N(α)j(i))\Gamma=(M^{(i)}_{(\alpha)\beta}, N^{(i)}_{(\alpha)j}) 的问题,该联络由 Kronecker 积竖直度量 d-张量 G(i)(j)(α)(β)=hαβgijG^{(\alpha)(\beta)}_{(i)(j)}=h^{\alpha\beta}g_{ij} 典范生成,该张量可能由来自理论物理各分支(玻色弦理论、电动力学或弹性力学)的多时间依赖二次 Lagrangian 提供。

关键词

引用

@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}
}

备注

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