Article

Arkiv för Matematik

, Volume 38, Issue 2, pp 327-342

First online:

On the Poincaré inequality for vector fields

  • Ermanno LanconelliAffiliated withDipartimento di Matematica, Università di Bologna
  • , Daniele MorbidelliAffiliated withDipartimento di Matematica, Università di Bologna

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access

Abstract

We prove the Poincaré inequality for vector fields on the balls of the control distance by integrating along subunit paths. Our method requires that the balls are representable by means of suitable “controllable almost exponential maps”.