منابع مشابه
Weighted L2 Cohomology of Asymptotically Hyperbolic Manifolds
The main results are summarized by Figure 1. They demonstrate the resiliency of the isomorphism constructed in [Nai99] between weighted cohomology and a variant of weighted L2 cohomology. Our attention is restricted from generic locally symmetric spaces to spaces whose ends are hyperbolic, diffeomorphic to (0,∞) × (S1)n−1, and carry exponentially warped product metrics. For weighting functions ...
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— When X = Γ\Hn is a real hyperbolic manifold, it is already known that if the critical exponent is small enough then some cohomology spaces and some spaces of L2 harmonic forms vanish. In this paper, we show rigidity results in the borderline case of these vanishing results. Résumé. — La petitesse de l’exposant critique du groupe fondamental d’une variété hyperbolique implique des résultats d’...
متن کاملTorsion without the Determinant Class Condition and Extended L2 Cohomology
We associate determinant lines to objects of the extended abelian category built out of a von Neumann category with a trace. Using this we suggest constructions of the combinatorial and the analytic L torsions which, unlike the work of the previous authors, requires no additional assumptions; in particular we do not impose the determinant class condition. The resulting torsions are elements of ...
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ژورنال
عنوان ژورنال: Banach Center Publications
سال: 1986
ISSN: 0137-6934,1730-6299
DOI: 10.4064/-18-1-215-237