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
Maximal volume representations are Fuchsian / S. Francaviglia; B. Klaff. - In: GEOMETRIAE DEDICATA. - ISSN 0046-5755. - STAMPA. - 117:(2006), pp. 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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