A GEOMETRIC APPROACH TO NOETHER 2ND THEOREM IN TIME-DEPENDENT LAGRANGIAN MECHANICS

被引：23

作者：

CARINENA, JF ^{[1
]}

FERNANDEZNUNEZ, J ^{[1
]}

MARTINEZ, E ^{[1
]}

机构：

[1] UNIV OVIEDO, DEPT FIS, E-33007 OVIEDO, SPAIN

来源：

关键词：

D O I：

10.1007/BF01811294

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

We analyse Noether's Second Theorem from a geometric viewpoint using the concepts of vector fields and forms along tangent bundle projections.

引用

页码：51 / 63

页数：13

共 16 条

[11]

Krupka D., 1973, FOLIA FS NAT UJEP BR, V14, P1

[12] MILESTONES IN MATHEMATICAL PHYSICS - INVARIANT VARIATION PROBLEMS [J].

NOETHER, E .

TRANSPORT THEORY AND STATISTICAL PHYSICS, 1971, 1 (03) :186-+

[13]

OLVER PJ, 1986, APPLICATIONS LIE GRO

[14] DERIVATIONS OF DIFFERENTIAL FORMS ON JET BUNDLES [J].

PIDELLO, G ;

TULCZYJEW, WM .

ANNALI DI MATEMATICA PURA ED APPLICATA, 1987, 147 :249-265

[15]

Saunders DJ., 1989, GEOMETRY JET BUNDLES

SUGANO, R ;

KIMURA, T .

PHYSICAL REVIEW D, 1990, 41 (04) :1247-1254