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...

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Bibliographic Details

Main Author:	Mostow, George D. 1923- (Author)
Format:	Electronic eBook
Language:	English
Published:	Princeton, NJ Princeton University Press 1973
Series:	Annals of Mathematics Studies number 78
Subjects:	Lie groups Riemannian manifolds Rigidity (Geometry) Symmetric spaces Lokal symmetrischer Raum Rigidität Starrheit > Mathematik
Online Access:	Volltext
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
Item Description:	Description based on online resource; title from PDF title page (publisher's Web site, viewed Jul. 04., 2016)
Physical Description:	1 online resource
ISBN:	9781400881833
DOI:	10.1515/9781400881833