Ë«Çú¼¸ºÎ½²Òå-(Ó°Ó¡°æ)

Ë«Çú¼¸ºÎ½²Òå-(Ó°Ó¡°æ) ÄÚÈݼò½é

¡¡¡¡one of the main themes of this book is the conflict between the "flexibility' and the "rigidity¡¡properties of the hyperbolic manifolds£º the first radical difference arises between the case of dimension 2 and the case of higher dimensions £¨as proved in chapters b and c£©£¬ an elementary feature of thus phenomenon being the difference between the riemann mapping theorem and liouville's theorem£¬ as pointed out in chapter a. thus chapter is rather clementary and most of its material may' be the object of an undergraduate course. ¡¡¡¡together with the rigidity theorem£¬ a basic tool for the study of hyperbolic manifolds is margulis' lemma£¬ a detailed proof of which we give in chapter d; as a consequence of this result in the same chapter we also give a rather accurate description£¬ in all dimensions£¬ of the thin-thick decomposition of a hyperbolic manifold £¨especially in case of finite volume£©.