A nonholonomic space is a smooth manifold equipped with a bracket generating family of vector fields. Its infinitesimal version is a homogeneous space of a nilpotent Lie group endowed with a dilation which measures the anisotropy of the space. We give an intrinsic construction of these infinitesimal objects and classify all rigid (i.e. not deformable) cases. © 2003 American Mathematical Society.

Nonholonomic tangent spaces: intrinsic construction and rigid dimensions / Agrachev, A.; Marigo, A.. - In: ELECTRONIC RESEARCH ANNOUNCEMENTS OF THE AMERICAN MATHEMATICAL SOCIETY. - ISSN 1079-6762. - 9:(2003), pp. 111-120. [10.1090/S1079-6762-03-00118-5]

Nonholonomic tangent spaces: intrinsic construction and rigid dimensions

AGRACHEV, A.;
2003-01-01

Abstract

A nonholonomic space is a smooth manifold equipped with a bracket generating family of vector fields. Its infinitesimal version is a homogeneous space of a nilpotent Lie group endowed with a dilation which measures the anisotropy of the space. We give an intrinsic construction of these infinitesimal objects and classify all rigid (i.e. not deformable) cases. © 2003 American Mathematical Society.
2003
9
111
120
Agrachev, A.; Marigo, A.
File in questo prodotto:
Non ci sono file associati a questo prodotto.

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.11767/16369
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 24
  • ???jsp.display-item.citation.isi??? 21
social impact