Deformations of flat conformal structures on a hyperbolic 3-manifold
We show that a particular closed hyperbolic 3-manifold with a totally geodesic hypersurface of genus two admits a real two dimensional family of flat conformal deformations that are distinct from the deformations obtained by bending along the totally geodesic hypersurface. The construction is quite general and can be applied to other not necessarily hyperbolic manifolds; it follows from a more general theory of bending hyperbolic cone manifolds along totally geodesic hyperplanes intersecting at the singular set.
scientific article; zbMATH DE number 444701
scientific article