A topological analogue of Mostow’s rigidity theorem
نویسندگان
چکیده
منابع مشابه
A Topological Analogue of Mostow's Rigidity Theorem
Three types of manifolds, spherical, fiat, and hyperbolic, are paradigms of geometric behavior. These are the Riemannian manifolds of constant positive, zero, and negative sectional curvatures, respectively. (The positive and negative sectional curvatures may be assumed, after scaling, to be + 1 and -1.) There is an equivalent synthetic geometric definition of them in terms of coordinate charts...
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Mostow’s Rigidity Theorem is a stunning bridge between the worlds of geometry and topology. It tells us that the geometry of closed hyperbolic n-manifolds, for n ≥ 3, is completely determined by their fundamental groups. The proofs of this result are many and varied — all of them substantial and involving machinery from a number of areas of mathematics. The bulk of this report is devoted to giv...
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ژورنال
عنوان ژورنال: Journal of the American Mathematical Society
سال: 1989
ISSN: 0894-0347
DOI: 10.1090/s0894-0347-1989-0973309-4