Click Here to Download: https://ouo.io/Bxmoyfe Strong Rigidity of Locally Symmetric Spaces. (AM-78), Volume 78 By: G. Daniel Mostow Publisher: Princeton University Press Print ISBN: 9780691081366, 0691081360 eText ISBN: 9781400881833, 1400881838 Copyright year: 1974 Format: PDF Available from $ 75.00 USD SKU 9781400881833 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.
