On the differential form spectrum of hyperbolic manifolds

• Gilles Carron ^[1] ; Emmanuel Pedon ^[2]
  1. [1] University of Nantes

     University of Nantes

     Arrondissement de Nantes, Francia

     
  2. [2] Université de Reims, France
• Localización: Annali della Scuola Normale Superiore di Pisa. Classe di scienze, ISSN 0391-173X, Vol. 3, Nº 4, 2004, págs. 705-747
• Idioma: inglés
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• Resumen

  • We give a lower bound for the bottom of the L2 differential form spectrum on hyperbolic manifolds, generalizing thus a well-known result due to Sullivan and Corlette in the function case. Our method is based on the study of the resolvent associated with the Hodge-de Rham Laplacian and leads to applications for the (co)homology and topology of certain classes of hyperbolic manifolds.