Lectures on Hyperbolic Geometry (Universitext) (Paperback)

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Lectures on Hyperbolic Geometry (Universitext) Cover Image


The core of the book is the study of the space of the hyperbolic manifolds endowed with the Chabauty and the geometric topology, and in particular the proof of the hypberbolic surgery theorem in dimension three, based on the representation of three-mainfolds as glued ideal tetrahedra. The development of this main theme requires setting a wide background forming the body of the book: the classical geometry of the hyperbolic space, the Fenchel-Nielsen parametrization of the Teichm ller space, Mostow's rigidity theorem, Margulis' lemma. As a conclusion some features of bounded cohomology, flat fiber bundles and amenable groups are mentioned.
Product Details
ISBN: 9783540555346
ISBN-10: 354055534X
Publisher: Springer
Publication Date: September 3rd, 1992
Pages: 330
Language: English
Series: Universitext