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