Mostow Rigidity Theorem
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Mostow Rigidity Theorem

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Please note that the content of this book primarily consists of articles available from Wikipedia or other free sources online. In mathematics, Mostow''s rigidity theorem, sometimes called the strong rigidity theorem, essentially states that the geometry of a finite-volume hyperbolic manifold (for dimension greater than two) is determined by the fundamental group and hence unique. It is the leading example of the types of statements that occur in rigidity theory. While the theorem shows that there is no deformation space of (complete) hyperbolic structures on a finite volume hyperbolic n-manif...