Step-s involutive families of vector fields, their orbits and the Poincaré inequality

Annamaria Montanari; Daniele Morbidelli

doi:10.1016/j.matpur.2012.09.005

paper

Step-s involutive families of vector fields, their orbits and the Poincaré inequality

arXiv:1106.2410 · doi:10.1016/j.matpur.2012.09.005

Abstract

We consider a family of $C^{1}$ vector fields satisfying a suitable higher order involutivity condition. We discuss the definition of commutators, the regularity of Sussmann's orbits and the Poincaré inequality.

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References in corpus (2)

Almost exponential maps and integrability results for a class of horizontally regular vector fields
Generalized Jacobi identities and ball-box theorem for horizontally regular vector fields

Step-s involutive families of vector fields, their orbits and the Poincaré inequality

Abstract

References in corpus (2)

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