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Lectures on Hyperbolic Geometry (1992. 2nd Printing 2003)
by Lectures on Hyperbolic Geometry (1992. 2nd Printing 2003)
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Description
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 Teichmüller space, Mostow's rigidity theorem, Margulis' lemma. As a conclusion some features of bounded cohomology, flat fiber bundles and amenable groups are mentioned.
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Product Details
- Springer Brand
- Sep 3, 1992 Pub Date:
- 354055534X ISBN-10:
- 9783540555346 ISBN-13:
- 346.0 pages Paperback
- English Language
- 9.25 in * 0.79 in * 6.1 in Dimensions:
- 1 lb Weight:
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