Strong Rigidity of Locally Symmetric Spaces

George Daniel Mostow

ISBN 10: 0691081360 / ISBN 13: 9780691081366

Edité par Princeton University Press, 1973

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nach der Bestellung gedruckt Neuware - Printed after ordering - 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.

N° de réf. du vendeur 9780691081366

Détails bibliographiques

• Titre: Strong Rigidity of Locally Symmetric Spaces
• Éditeur: Princeton University Press
• Date de parution: 1973
• Langue: anglais
• ISBN à 10 chiffres: 0691081360
• ISBN à 13 chiffres: 9780691081366
• Reliure: Taschenbuch
• État de l'article: Neu
• Dimensions: 229 L x 152 H x 12 P (en millimètres) 229 millimètres de largeur par 152 millimètres de hauteur par 12 millimètres de profondeur
• Poids: 339 grammes

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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.