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• W3105847104 abstract "Abstract Let Γ be a nonuniform lattice acting on the real hyperbolic n -space. We show that in dimension greater than or equal to 4, the volume of a representation is constant on each connected component of the representation variety of Γ in SO( n , 1). Furthermore, in dimensions 2 and 3, there is a semialgebraic subset of the representation variety such that the volume of a representation is constant on connected components of the semialgebraic subset. Combining our approach with the main result of [ 2 ] gives a new proof of the local rigidity theorem for nonuniform hyperbolic lattices and the analogue of Soma's theorem, which shows that the number of orientable hyperbolic manifolds dominated by a closed, connected, orientable 3-manifold is finite, for noncompact 3-manifolds." @default.
• W3105847104 created "2020-11-23" @default.
• W3105847104 creator A5016653414 @default.
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• W3105847104 date "2016-05-03" @default.
• W3105847104 modified "2023-10-18" @default.
• W3105847104 title "On deformation spaces of nonuniform hyperbolic lattices" @default.
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• W3105847104 doi "https://doi.org/10.1017/s0305004116000293" @default.
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