Strong Rigidity of Locally Symmetric Spaces AM 78 Volume 78

This book PDF is perfect for those who love Mathematics genre, written by G. Daniel Mostow and published by Princeton University Press which was released on 02 March 2016 with total hardcover pages 204. You could read this book directly on your devices with pdf, epub and kindle format, check detail and related Strong Rigidity of Locally Symmetric Spaces AM 78 Volume 78 books below.

Strong Rigidity of Locally Symmetric Spaces AM 78 Volume 78
Strong Rigidity of Locally Symmetric Spaces AM 78 Volume 78
Author : G. Daniel Mostow
File Size : 42,5 Mb
Publisher : Princeton University Press
Language : English
Release Date : 02 March 2016
ISBN : 9781400881833
Pages : 204 pages
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Strong Rigidity of Locally Symmetric Spaces AM 78 Volume 78 by G. Daniel Mostow Book PDF Summary

Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines the theory of semi-simple Lie groups, discrete subgroups, the geometry of E. Cartan's symmetric Riemannian spaces, elements of ergodic theory, and the fundamental theorem of projective geometry as applied to Tit's geometries. In his proof the author introduces two new notions having independent interest: one is "pseudo-isometries"; the other is a notion of a quasi-conformal mapping over the division algebra K (K equals real, complex, quaternion, or Cayley numbers). The author attempts to make the account accessible to readers with diverse backgrounds, and the book contains capsule descriptions of the various theories that enter the proof.

Strong Rigidity of Locally Symmetric Spaces AM 78 Volume 78

Strong Rigidity of Locally Symmetric Spaces AM 78 Volume 78 by G. Daniel Mostow

Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he calls "strong rigidity": this is a stronger form of the deformation rigidity that has been investigated by Selberg, Calabi-Vesentini, Weil, Borel, and Raghunathan. The proof combines

Get Book
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