Infinitesimal Deformations of Some So(3, 1) Lattices
نویسندگان
چکیده
Let Γ be a torsion-free lattice in SO0(3, 1), and let M = Γ\H3 be the corresponding hyperbolic 3-manifold. It is wellknown that in the presence of a closed, embedded, totallygeodesic surface in M , the canonical flat conformal structure on M can be deformed via the bending construction. Equivalently, the lattice Γ admits non-trivial deformations into SO0(4, 1). We present a new construction of infinitesimal deformations for the hyperbolic Fibonacci manifolds, the smallest of which is non-Haken and contains no immersed totally geodesic surface.
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