Global rigidity of 3-dimensional cone-manifolds
نویسندگان
چکیده
منابع مشابه
Global rigidity of 3-dimensional cone-manifolds
We prove global rigidity for compact hyperbolic and spherical cone-3-manifolds with cone-angles ≤ π (which are not Seifert fibered in the spherical case), furthermore for a class of hyperbolic cone-3-manifolds of finite volume with cone-angles ≤ π, possibly with boundary consisting of totally geodesic hyperbolic turnovers. To that end we first generalize the local rigidity result contained in [...
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We investigate the local deformation space of 3-dimensional conemanifold structures of constant curvature κ ∈ {−1, 0, 1} and coneangles≤ π. Under this assumption on the cone-angles the singular locus will be a trivalent graph. In the hyperbolic and the spherical case our main result is a vanishing theorem for the first Lcohomology group of the smooth part of the cone-manifold with coefficients ...
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ژورنال
عنوان ژورنال: Journal of Differential Geometry
سال: 2007
ISSN: 0022-040X
DOI: 10.4310/jdg/1180135696