Digitale Medien
Springer
Acta applicandae mathematicae
32 (1993), S. 267-296
ISSN:
1572-9036
Schlagwort(e):
70B10
;
Screw
;
kinematics
Quelle:
Springer Online Journal Archives 1860-2000
Thema:
Mathematik
Notizen:
Abstract LetE(3) be the Lie group of proper rigid motions of Euclidean 3-space. The adjoint action ofE(3) on its Lie algebrae(3) induces an action on the Grassmannian of subspaces of given dimensiond. Projectively, these subspaces are the screw systems of classical kinematics. The authors show that existing classifications of screw systems give rise to Whitney regular stratifications of the Grassmannians, and establish diagrams of specialisations for the strata. A list is given of the screw systems which can appear generically for motions of 3-space with at most three degrees of freedom.
Materialart:
Digitale Medien
URL:
http://dx.doi.org/10.1007/BF01082452
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