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

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.

General

Imprint:	Princeton University Press
Country of origin:	United States
Series:	Annals of Mathematics Studies
Release date:	December 1973
First published:	December 1973
Authors:	G.Daniel Mostow
Dimensions:	229 x 152 x 15mm (L x W x T)
Format:	Paperback - Trade
Pages:	204
ISBN-13:	978-0-691-08136-6
Categories:	Books > Science & Mathematics > Mathematics > General
LSN:	0-691-08136-0
Barcode:	9780691081366

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