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

被引：8

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

页码：283 / 321

页数：39

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