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Calcolo manuscript No. (will be inserted by the editor)
 

Summary: Calcolo manuscript No.
(will be inserted by the editor)
A global Inverse Map Theorem and
biLipschitz maps in the Heisenberg group
Nicola Arcozzi1, Daniele Morbidelli2
1
Dipartimento di Matematica, Universit`a di Bologna. Piazza di Porta S. Donato,
5. 40127, Bologna (ITALY) e-mail: arcozzi@dm.unibo.it.
2
Dipartimento di Matematica, Universit`a di Bologna. Piazza di Porta S. Donato,
5. 40127, Bologna (ITALY). e-mail: morbidel@dm.unibo.it
Received: date / Revised version: date
A Stefano, con nostalgia.
Abstract. We prove a global Inverse Map Theorem for a map f
from the Heisenberg group into itself, provided the Pansu differential
of f is continuous, non singular and satisfies some growth conditions
at infinity. An estimate for the Lipschitz constant (with respect to
the Carnot­Carath“eodory distance in H) of a continuously Pansu
differentiable map is included. This gives a characterization of (con-
tinuously Pansu differentiable) globally biLipscitz deformations of H

  

Source: Arcozzi, Nicola - Dipartimento di Matematica, Universitą di Bologna

 

Collections: Mathematics