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- W2108239898 abstract "We prove a volume-rigidity theorem for Fuchsian representations of fundamental groups of hyperbolic k-manifolds into Isom $$mathbb{H}^n$$ . Namely, we show that if M is a complete hyperbolic k-manifold with finite volume, then the volume of any representation of π1(M) into isom $$mathbb{H}^n$$ , 3 ≤ k ≤ n, is less than the volume of M, and the volume is maximal if and only if the representation is discrete, faithful and ‘k-Fuchsian’" @default.
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- W2108239898 date "2006-03-29" @default.
- W2108239898 modified "2023-10-16" @default.
- W2108239898 title "Maximal Volume Representations are Fuchsian" @default.
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- W2108239898 doi "https://doi.org/10.1007/s10711-005-9033-0" @default.
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