In mathematics, Mostow's rigidity theorem, or strong rigidity theorem, or Mostow–Prasad rigidity theorem, essentially states that the geometry of a complete ...

Our aim is to give three different proofs of Mostow's Rigidity Theorem: a proof given by Gromov and Thurston [12], a proof by Besson, Courtois, and Gallot [2], ...

Jan 7, 2014 · Mostow's rigidity theorem is essential for the understanding of flex- ibility and rigidity of hyperbolic structures. In two dimensional ...

Nov 7, 2008 · Mostow's Rigidity Theorem is a stunning bridge between the worlds of geometry and topology. It tells us that the geometry of closed ...

The Mostow celebrated rigidity theorem for rank-one symmetric spaces states that every isomorphism between fundamental groups of compact, negatively curved, ...

I will begin with the Mostow Rigidity theorem which states that in dimension at least 3, closed hyperbolic manifolds that are homotopic are in fact isometric.

Jun 17, 2005 · Mostow Rigidity. Theorem 2 (Mostow Rigidity). Let G be a Lie group of class (a), and let Γ1 and Γ2 be lattices in G with Γ1. ∼. = Γ2 (as ...

Mostow rigidity is the remarkable theorem stating the uniqueness of hyperbolic struc- tures on manifolds of dimension three or higher.