Riccardo Benedetti

(Author)

Lectures on Hyperbolic Geometry (1992. 2nd Printing 2003)Paperback - 1992. 2nd Printing 2003, 3 September 1992

Lectures on Hyperbolic Geometry (1992. 2nd Printing 2003)
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Part of Series
Universitext
Print Length
330 pages
Language
English
Publisher
Springer
Date Published
3 Sep 1992
ISBN-10
354055534X
ISBN-13
9783540555346

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.

Product Details

Authors:
Riccardo BenedettiCarlo Petronio
Book Edition:
1992. 2nd Printing 2003
Book Format:
Paperback
Country of Origin:
DE
Date Published:
3 September 1992
Dimensions:
23.39 x 15.6 x 1.85 cm
ISBN-10:
354055534X
ISBN-13:
9783540555346
Language:
English
Location:
Berlin, Heidelberg
Pages:
330
Publisher:
Weight:
494.42 gm

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