On the differential form spectrum of hyperbolic manifolds

Gilles Carron; Emmanuel Pedon

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On the differential form spectrum of hyperbolic manifolds

Gilles Carron·Emmanuel Pedon

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Abstract

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.

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Gilles Carron, Emmanuel Pedon. 2005-03-09. On the differential form spectrum of hyperbolic manifolds. https://arxiv.org/abs/math/0303348

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