On the differential form spectrum of hyperbolic manifolds
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Volume 3 (2004) no. 4, p. 705-747
We give a lower bound for the bottom of the L 2 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.
Classification:  53C35,  22E40,  34L15,  57T15,  58J50
@article{ASNSP_2004_5_3_4_705_0,
     author = {Carron, Gilles and Pedon, Emmanuel},
     title = {On the differential form spectrum of hyperbolic manifolds},
     journal = {Annali della Scuola Normale Superiore di Pisa - Classe di Scienze},
     publisher = {Scuola Normale Superiore, Pisa},
     volume = {Ser. 5, 3},
     number = {4},
     year = {2004},
     pages = {705-747},
     zbl = {1170.53309},
     mrnumber = {2124586},
     language = {en},
     url = {http://www.numdam.org/item/ASNSP_2004_5_3_4_705_0}
}
Carron, Gilles; Pedon, Emmanuel. On the differential form spectrum of hyperbolic manifolds. Annali della Scuola Normale Superiore di Pisa - Classe di Scienze, Série 5, Volume 3 (2004) no. 4, pp. 705-747. http://www.numdam.org/item/ASNSP_2004_5_3_4_705_0/

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