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.

引用

页码：127 / 151

页数：25

共 50 条

[41] Higher-order theorem proving and its applications
Steen, Alexander
IT-INFORMATION TECHNOLOGY, 2019, 61 (04): : 187 - 191
[42] A KRONECKER THEOREM FOR HIGHER-ORDER HANKEL FORMS
ROCHBERG, R
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 1995, 123 (10) : 3113 - 3118
[43] ONSAGERS THEOREM AND HIGHER-ORDER HYDRODYNAMIC EQUATIONS
MCLENNAN, JA
PHYSICAL REVIEW A, 1974, 10 (04): : 1272 - 1276
[44] OSTROGRADSKI THEOREM FOR HIGHER-ORDER SINGULAR LAGRANGIANS
PONS, JM
LETTERS IN MATHEMATICAL PHYSICS, 1989, 17 (03) : 181 - 189
[45] ON THE PROBLEM OF STABILITY FOR HIGHER-ORDER DERIVATIVE LAGRANGIAN SYSTEMS
PAGANI, E
TECCHIOLLI, G
ZERBINI, S
LETTERS IN MATHEMATICAL PHYSICS, 1987, 14 (04) : 311 - 319
[46] Second class constraints in a higher-order Lagrangian formalism
Batalin, IA
Bering, K
Damgaard, PH
PHYSICS LETTERS B, 1997, 408 (1-4) : 235 - 240
[47] THE VIRIAL THEOREM FOR HIGHER-ORDER DIFFERENTIAL OPERATORS
Behncke, Horst
Hinton, Don
DIFFERENTIAL AND INTEGRAL EQUATIONS, 2012, 25 (9-10) : 915 - 937
[48] SYMMETRIES AND ALTERNATIVE LAGRANGIANS IN HIGHER-ORDER MECHANICS
SARLET, W
PHYSICS LETTERS A, 1985, 108 (01) : 14 - 18
[49] Higher-order unification as a theorem proving procedure
Hagiya, Masami
Proceedings of the International Conference on Logic Programming, 1991,
[50] A Liouville theorem for the higher-order fractional Laplacian
Zhuo, Ran
Li, Yan
COMMUNICATIONS IN CONTEMPORARY MATHEMATICS, 2019, 21 (02)

← 1 2 3 4 5 →