DYNAMICS OF AFFINELY DEFORMABLE BODIES FROM THE STANDPOINT OF THEORETICAL MECHANICS AND DIFFERENTIAL GEOMETRY

被引：7
|
作者：
Burov, A. A. [1 ]
Chevallier, D. P. [2 ]
机构：
[1] Russian Acad Sci, Dorodnicyn Comp Ctr, Moscow 119991, Russia
[2] Ecole Natl Ponts & Chaussees, F-77455 Marne La Vallee, France
来源：
REPORTS ON MATHEMATICAL PHYSICS | 2008年 / 62卷 / 03期
关键词：
affinely deformable bodies; principal homogeneous spaces; principal fiber bundles; dynamic connection;
D O I：
10.1016/S0034-4877(09)00003-2
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We discuss the mechanics of affinelly deformable bodies in a "canonical form" based on Lie groups, differential geometry of principal homogeneous spaces and principal fiber bundles endowed with the dynamic connection.
引用
收藏
页码：283 / 321
页数：39
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