Gaffney–Friedrichs inequality for differential forms on Heisenberg groups

• Bruno Franchi ^[1] ; Francescopaolo Montefalcone ^[2] ; Elena Serra ^[1]
  1. [1] University of Bologna

     University of Bologna

     Bolonia, Italia

     
  2. [2] University of Padua

     University of Padua

     Padova, Italia

     
• Localización: Revista matemática iberoamericana, ISSN 0213-2230, Vol. 35, Nº 3, 2019, págs. 643-692
• Idioma: inglés
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• Resumen

  • In this paper, we will prove several generalized versions, dependent on different boundary conditions, of the classical Gaffney–Friedrichs inequality for differential forms on Heisenberg groups. In the first part of the paper, we will consider horizontal differential forms and the horizontal differential. In the second part, we shall prove the counterpart of these results in the context of Rumin’s complex.