We prove a volume-rigidity theorem for Fuchsian representations of fundamental groups of hyperbolic k-manifolds into Isom(Hn). 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(Hn), 3
S. Francaviglia, B. Klaff (2006). Maximal volume representations are Fuchsian. GEOMETRIAE DEDICATA, 117, 111-124 [10.1007/s10711-005-9033-0].
Maximal volume representations are Fuchsian.
FRANCAVIGLIA, STEFANO;
2006
Abstract
We prove a volume-rigidity theorem for Fuchsian representations of fundamental groups of hyperbolic k-manifolds into Isom(Hn). 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(Hn), 3File in questo prodotto:
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