Geodesic
Nonholonomic tangent spaces: intrinsic construction and rigid dimensions
Agrachev, A.1, 2 ; Marigo, A.3
1Steklov Mathematical Institute, Moscow, Russia
2SISSA, Via Beirut 2–4, Trieste, Italy
3IAC-CNR, Viale Policlinico 136, Roma, Italy
Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 111-120
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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.
DOI : 10.1090/S1079-6762-03-00118-5

Agrachev, A.  1 , 2   ; Marigo, A.  3

1 Steklov Mathematical Institute, Moscow, Russia
2 SISSA, Via Beirut 2–4, Trieste, Italy
3 IAC-CNR, Viale Policlinico 136, Roma, Italy 
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Agrachev, A.; Marigo, A. Nonholonomic tangent spaces: intrinsic construction and rigid dimensions. Electronic research announcements of the American Mathematical Society, Tome 09 (2003), pp. 111-120. doi: 10.1090/S1079-6762-03-00118-5

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