Singularities of Hinge Structures

Thumbnail Image

Date

Authors

Journal Title

Journal ISSN

Volume Title

Publisher

Abstract

Description

Motivated by the hinge structure present in protein chains and other molecular conformations, we study the singularities of certain maps associated to body-and-hinge and panel-and-hinge chains. These are sequentially articulated systems where two consecutive rigid pieces are connected by a hinge, that is, a codimension two axis. The singularities, or critical points, correspond to a dimensional drop in the linear span of the axes, regarded as points on a Grassmann variety in its Plücker embedding. These results are valid in arbitrary dimension. The three dimensional case is also relevant in robotics.

Keywords

Differential Geometry, 53A17

Citation

URI

http://salesiana.dossiersoluciones.com/handle/123456789/209848

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0812.1373
 http://arxiv.org/abs/0812.1373

Collections

arXiv