Rigidity of symmetric spaces
Inkang Kim (1998-1999)
Séminaire de théorie spectrale et géométrie
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Displaying similar documents to “On rank one symmetric space”
Rigidity of symmetric spaces
Hyperbolic manifolds according to Thurston and Jørgensen
Michael Gromov (1979-1980)
Séminaire Bourbaki
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On the geometric boundaries of hyperbolic 4-manifolds.
Long, D.D., Reid, A.W. (2000)
Geometry & Topology
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Tameness on the boundary and Ahlfors' measure conjecture
Jeffrey Brock, Kenneth Bromberg, Richard Evans, Juan Souto (2003)
Publications Mathématiques de l'IHÉS
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Let N be a complete hyperbolic 3-manifold that is an algebraic limit of geometrically finite hyperbolic 3-manifolds. We show N is homeomorphic to the interior of a compact 3-manifold, or , if one of the following conditions holds: 1. N has non-empty conformal boundary, 2. N is not homotopy equivalent to a compression body, or 3. N is a strong limit of geometrically finite manifolds. The first case proves Ahlfors’ measure conjecture for kleinian groups in the closure of the geometrically...
Hyperbolic structure on a complement of tori in the 4-sphere.
Ivanšić, Dubravko (2004)
Advances in Geometry
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Hyperbolic cone-manifolds with large cone-angles.
Souto, Juan (2003)
Geometry & Topology
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On the differential form spectrum of hyperbolic manifolds
Gilles Carron, Emmanuel Pedon (2004)
Annali della Scuola Normale Superiore di Pisa - Classe di Scienze
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We give a lower bound for the bottom of the 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.
Symmetries, isometries and length spectra of closed hyperbolic three-manifolds.
Hodgson, Craig D., Weeks, Jeffrey R. (1994)
Experimental Mathematics
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Traces, lengths, axes and commensurability
Alan W. Reid (2014)
Annales de la faculté des sciences de Toulouse Mathématiques
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The focus of this paper are questions related to how various geometric and analytical properties of hyperbolic 3-manifolds determine the commensurability class of such manifolds. The paper is for the large part a survey of recent work.