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Cover: 9783540555346 | Lectures on Hyperbolic Geometry | Riccardo Benedetti (u. a.) | Buch
Rückseite: 9783540555346 | Lectures on Hyperbolic Geometry | Riccardo Benedetti (u. a.) | Buch
Cover: 9783540555346 | Lectures on Hyperbolic Geometry | Riccardo Benedetti (u. a.) | Buch
Rückseite: 9783540555346 | Lectures on Hyperbolic Geometry | Riccardo Benedetti (u. a.) | Buch
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Lectures on Hyperbolic Geometry
Taschenbuch von Riccardo Benedetti (u. a.)
Sprache: Englisch

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Beschreibung
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.
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.
Zusammenfassung
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.
Inhaltsverzeichnis
A. Hyperbolic Space.- B. Hyperbolic Manifolds and the Compact Two-dimensional Case.- C. The Rigidity Theorem (Compact Case).- D. Margulis' Lemma and its Applications.- E. The Space of Hyperbolic Manifolds and the Volume Function.- F. Bounded Cohomology, a Rough Outline.- Notation Index.- References.
Details
Erscheinungsjahr: 1992
Fachbereich: Analysis
Genre: Mathematik, Medizin, Naturwissenschaften, Technik
Rubrik: Naturwissenschaften & Technik
Medium: Taschenbuch
Reihe: Universitext
Inhalt: xiv
330 S.
175 s/w Illustr.
175 s/w Zeichng.
ISBN-13: 9783540555346
ISBN-10: 354055534X
Sprache: Englisch
Einband: Kartoniert / Broschiert
Autor: Benedetti, Riccardo
Petronio, Carlo
Hersteller: Springer
Springer-Verlag GmbH
Universitext
Verantwortliche Person für die EU: Springer Verlag GmbH, Tiergartenstr. 17, D-69121 Heidelberg, juergen.hartmann@springer.com
Maße: 235 x 155 x 19 mm
Von/Mit: Riccardo Benedetti (u. a.)
Erscheinungsdatum: 03.09.1992
Gewicht: 0,528 kg
Artikel-ID: 102341524
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