Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78

Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78
Author :
Publisher : Princeton University Press
Total Pages : 204
Release :
ISBN-10 : 9781400881833
ISBN-13 : 1400881838
Rating : 4/5 (838 Downloads)

Book Synopsis Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 by : G. Daniel Mostow

Download or read book Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 written by G. Daniel Mostow and published by Princeton University Press. This book was released on 2016-03-02 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Related Books

Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78
Language: en
Pages: 204
Authors: G. Daniel Mostow
Categories: Mathematics
Type: BOOK - Published: 2016-03-02 - Publisher: Princeton University Press

GET EBOOK

Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he ca
Strong Rigidity of Locally Symmetric Spaces
Language: en
Pages: 204
Authors: G. Daniel Mostow
Categories: Mathematics
Type: BOOK - Published: 1973-12-21 - Publisher: Princeton University Press

GET EBOOK

Locally symmetric spaces are generalizations of spaces of constant curvature. In this book the author presents the proof of a remarkable phenomenon, which he ca
Metric Rigidity Theorems on Hermitian Locally Symmetric Manifolds
Language: en
Pages: 296
Authors: Ngaiming Mok
Categories: Mathematics
Type: BOOK - Published: 1989 - Publisher: World Scientific

GET EBOOK

This monograph studies the problem of characterizing canonical metrics on Hermitian locally symmetric manifolds X of non-compact/compact types in terms of curva
Arithmetic Groups and Their Generalizations
Language: en
Pages: 282
Authors: Lizhen Ji
Categories: Mathematics
Type: BOOK - Published: 2008 - Publisher: American Mathematical Soc.

GET EBOOK

In one guise or another, many mathematicians are familiar with certain arithmetic groups, such as $\mathbf{Z}$ or $\textrm{SL}(n, \mathbf{Z})$. Yet, many applic
Compactifications of Symmetric and Locally Symmetric Spaces
Language: en
Pages: 477
Authors: Armand Borel
Categories: Mathematics
Type: BOOK - Published: 2006-07-25 - Publisher: Springer Science & Business Media

GET EBOOK

Introduces uniform constructions of most of the known compactifications of symmetric and locally symmetric spaces, with emphasis on their geometric and topologi