arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 0707.3255math.DGmath.DS
收藏

Lorenz大气DEs系统产生的一阶喷流空间$J^1(T,R^5)$上的几何对象

Geometrical Objects on the First Order Jet Space $J^1(T,R^5)$ Produced by the Lorenz Atmospheric DEs System

Mircea Neagu

摘要:

本文的目的是从给定的Lorenz大气DEs系统和$T/times R^5$上的欧几里得度量对$/Delta = (1,/delta_{ij})$出发,在1-喷流空间J ^1(T,R ^5)上构造自然几何对象,其中$T/subset R$类似于非线性联络、广义Cartan联络及其d-挠率和d-曲率、喷流电磁d-场和喷流杨-米尔斯能量.

英文摘要:

The aim of this paper is to construct natural geometrical objects on the 1-jet space J^1(T,R^5), where $T/subset R$, like a non-linear connection, a generalized Cartan connection, together with its d-torsions and d-curvatures, a jet electromagnetic d-field and a jet Yang-Mills energy, starting from the given Lorenz atmospheric DEs system and the pair of Euclidian metrics $/Delta = (1,/delta_{ij})$ on $T/times R^5$.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

↑