L-2-COHOMOLOGY OF GEOMETRICALLY INFINITE HYPERBOLIC 3-MANIFOLDS

Authors
LOTT J
Citation
J. Lott, L-2-COHOMOLOGY OF GEOMETRICALLY INFINITE HYPERBOLIC 3-MANIFOLDS, Geometric and functional analysis, 7(1), 1997, pp. 81-119
Citations number
27
Categorie Soggetti
Mathematics, Pure",Mathematics
Journal title
Geometric and functional analysis → ACNP
ISSN journal
1016443X
Volume
7
Issue
1
Year of publication
1997
Pages
81 - 119
Database
ISI
SICI code
1016-443X(1997)7:1<81:LOGIH3>2.0.ZU;2-K
Abstract
We give results on the following questions about a topologically tame hyperbolic 3-manifold M : 1. Does M have nonzero square-integrable har monic 1-forms? 2. Does zero lie in the spectrum of the Laplacian actin g on Lambda(1)(M)/Ker(d)?