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Isospectral finiteness on hyperbolic 3‐manifolds
Author(s) -
Kim Inkang
Publication year - 2006
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20095
Subject(s) - isospectral , mathematics , geodesic , hyperbolic manifold , boundary (topology) , pure mathematics , relatively hyperbolic group , hyperbolic 3 manifold , regular polygon , hyperbolic group , set (abstract data type) , hyperbolic coordinates , mathematical analysis , hyperbolic equilibrium point , geometry , hyperbolic function , computer science , programming language
In this paper we show that for a given set of lengths of closed geodesics, there are only finitely many convex‐cocompact, hyperbolic 3‐manifolds with incompressible boundary, up to orientation‐preserving isometries. © 2005 Wiley Periodicals, Inc.