CONNECTIONS ON TANGENT-BUNDLES OF HIGHER-ORDER ASSOCIATED TO REGULAR LAGRANGIANS

被引：8
|
作者：
DEANDRES, LC
DELEON, M
RODRIGUES, PR
机构：
[1] UNIV BASQUE COUNTRY, FAC CIENCIAS, DEPT MATEMAT, BILBAO, SPAIN
[2] CSIC, UNIDAD MATHEMAT, E-28006 MADRID, SPAIN
[3] UNIV FED FLUMINENSE, INST MATH, DEPT GEOMETRIA, BR-24000 NITEROI, RJ, BRAZIL
来源：
GEOMETRIAE DEDICATA | 1991年 / 39卷 / 01期
关键词：
D O I：
10.1007/BF00147300
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Given a regular Lagrangian L of order k on M we show that there exists a canonical connection GAMMA-L on T2k-1 M whose paths are the solutions of the Euler-Lagrange equations for L. If L is the kinetic energy defined by a Riemannian metric then GAMMA-L is the Riemannian connection.
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页码：17 / 28
页数：12
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