Strong Rigidity of Locally Symmetric Spaces. (= Annals of Mathematics Studies).

Mostow, George D.:

ISBN 10: 0691081360 / ISBN 13: 9780691081366

Published by Princeton University Press, 1974

About this Item

v, 195 pp. 0691081360 Sprache: Englisch Gewicht in Gramm: 320 Groß 8°, Original-Karton (Softcover), Bibliotheks-Exemplar (ordnungsgemäß entwidmet) mit leichten Rückständen vom Rückenschild, Stempel auf Titel, insgesamt gutes und innen sauberes Exemplar, (library copy in good condition),

Seller Inventory # 123665

Bibliographic Details

• Title: Strong Rigidity of Locally Symmetric Spaces. (= Annals of Mathematics Studies).
• Publisher: Princeton University Press
• Publication Date: 1974
• Language: English
• ISBN 10: 0691081360
• ISBN 13: 9780691081366
• Binding: Soft cover
• Weight: 320 grams
• Seller catalogs:
  • Mathematik

About this title

Synopsis

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.