Step-s involutive families of vector fields, their orbits and the Poincar\'e inequality
classification
🧮 math.CA
math.DG
keywords
fieldsinequalityorbitspoincarvectorcommutatorsconditionconsider
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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 Poincar\'e inequality.
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