Strong Rigidity of Locally Symmetric Spaces
G. Daniel Mostow
२०१६ मार्च · Annals of Mathematics Studies पुस्तक 78 · Princeton University Press
इ-पुस्तक
204
पृष्ठहरू
family_home
योग्य
info
reportरेटिङ र रिभ्यूहरूको पुष्टि गरिएको हुँदैन थप जान्नुहोस्
यो इ-पुस्तकका बारेमा
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.
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.
यो इ-पुस्तकको मूल्याङ्कन गर्नुहोस्
हामीलाई आफ्नो धारणा बताउनुहोस्।
जानकारी पढ्दै
स्मार्टफोन तथा ट्याबलेटहरू
Android र iPad/iPhone का लागि Google Play किताब एप को इन्स्टल गर्नुहोस्। यो तपाईंको खातासॅंग स्वतः सिंक हुन्छ र तपाईं अनलाइन वा अफलाइन जहाँ भए पनि अध्ययन गर्न दिन्छ।
ल्यापटप तथा कम्प्युटरहरू
तपाईं Google Play मा खरिद गरिएको अडियोबुक आफ्नो कम्प्युटरको वेब ब्राउजर प्रयोग गरेर सुन्न सक्नुहुन्छ।
eReaders र अन्य उपकरणहरू
Kobo eReaders जस्ता e-ink डिभाइसहरूमा फाइल पढ्न तपाईंले फाइल डाउनलोड गरेर उक्त फाइल आफ्नो डिभाइसमा ट्रान्स्फर गर्नु पर्ने हुन्छ। ती फाइलहरू पढ्न मिल्ने इबुक रिडरहरूमा ती फाइलहरू ट्रान्स्फर गर्नेसम्बन्धी विस्तृत निर्देशनहरू प्राप्त गर्न मद्दत केन्द्र मा जानुहोस्।
