Global methods in classical mechanics. The Euler-Lagrange equation

被引：0

作者：

Grimaldi, P ^{[1
]}

机构：

[1] Univ Basilicata, Dipartimento Chim, I-85100 Potenza, Italy

来源：

JOURNAL OF MATHEMATICAL CHEMISTRY | 1998年 / 24卷 / 1-3期

关键词：

Classical Mechanic; Tangent Bundle; Lagrange Equation; Smooth Manifold; Cotangent Bundle;

D O I：

10.1023/A:1019110400670

中图分类号：

O6 [化学];

学科分类号：

0703 ;

摘要：

Starting from a smooth manifold Q as configurational space, the intrinsic form of Euler-Lagrange equation is derived using a differential geometrical approach in order to obtain a relation valid on the whole tangent bundle TQ that constitutes the phase space of a generical mechanical system.

引用

页码：71 / 78

页数：8

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