SECTIONS ALONG A MAP APPLIED TO HIGHER-ORDER LAGRANGIAN MECHANICS - NOETHER THEOREM

被引：0
|
作者：
CARINENA, JF
LOPEZ, C
MARTINEZ, E
机构：
[1] UNIV ZARAGOZA,DEPT FIS TEOR,E-50009 ZARAGOZA,SPAIN
[2] UNIV COMPLUTENSE MADRID,DEPT FIS TEOR 2,E-28040 MADRID,SPAIN
来源：
ACTA APPLICANDAE MATHEMATICAE | 1991年 / 25卷 / 02期
关键词：
HIGHER-ORDER TANGENT BUNDLES; HIGHER-ORDER LAGRANGIAN MECHANICS; SECTIONS ALONG A MAP; DERIVATIONS;
D O I：
暂无
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We show that the concept of a section along a map is a fundamental concept within the framework of the geometrical description of classical mechanics. We review the higher-order Lagrangian mechanics formulation, and simpler redefinitions of basic objects appear in a natural way. As an application, Noether's theorem for higher-order Lagrangian mechanics admitting a converse is developed.
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页码：127 / 151
页数：25
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