Cover Image
Read Now

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

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...

Full description

Bibliographic Details
Main Author: Mostow, G. Daniel
Format: eBook
Language:English
Published: Princeton, NJ Princeton University Press 2016, [2016]©1974
Series:Annals of Mathematics Studies
Subjects:
Riemannian Manifolds
Symmetric Spaces
Lie Groups
Rigidity (geometry)
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
LEADER 02098nmm a2200313 u 4500
001 EB001383324
003 EBX01000000000000000906289
005 00000000000000.0
007 cr|||||||||||||||||||||
008 170329 ||| eng
020 |a 9781400881833 
100 1 |a Mostow, G. Daniel 
245 0 0 |a Strong Rigidity of Locally Symmetric Spaces. (AM-78)  |h Elektronische Ressource  |c G. Daniel Mostow 
260 |a Princeton, NJ  |b Princeton University Press  |c 2016, [2016]©1974 
300 |a online resource 
653 |a Riemannian manifolds 
653 |a Symmetric spaces 
653 |a Lie groups 
653 |a Rigidity (Geometry) 
041 0 7 |a eng  |2 ISO 639-2 
989 |b GRUYMPG  |a DeGruyter MPG Collection 
490 0 |a Annals of Mathematics Studies 
500 |a Mode of access: Internet via World Wide Web 
028 5 0 |a 10.1515/9781400881833 
773 0 |t Princeton eBook Package Archive 1931-1999 
773 0 |t Princeton Annals of Mathematics Backlist eBook Package 
856 4 0 |u https://www.degruyter.com/doi/book/10.1515/9781400881833  |x Verlag  |3 Volltext 
082 0 |a 516/.36 
520 |a 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 

Similar Items