Lectures on Hyperbolic Geometry (Universitext) - Tapa blanda

Benedetti, Riccardo

 
9783540555346: Lectures on Hyperbolic Geometry (Universitext)
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ISBN 10: 354055534X ISBN 13: 9783540555346
Editorial: Springer, 2013

Sinopsis

Focussing on the geometry of hyperbolic manifolds, the aim here is to provide an exposition of some fundamental results, while being as self-contained, complete, detailed and unified as possible. Following some classical material on the hyperbolic space and the Teichmüller space, the book centers on the two fundamental results: Mostow’s rigidity theorem (including a complete proof, following Gromov and Thurston) and Margulis’ lemma. These then form the basis for studying Chabauty and geometric topology; a unified exposition is given of Wang’s theorem and the Jorgensen-Thurston theory; and much space is devoted to the 3D case: a complete and elementary proof of the hyperbolic surgery theorem, based on the representation of three manifolds as glued ideal tetrahedra.

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Reseña del editor

Focussing on the geometry of hyperbolic manifolds, the aim here is to provide an exposition of some fundamental results, while being as self-contained, complete, detailed and unified as possible. Following some classical material on the hyperbolic space and the Teichmüller space, the book centers on the two fundamental results: Mostow's rigidity theorem (including a complete proof, following Gromov and Thurston) and Margulis' lemma. These then form the basis for studying Chabauty and geometric topology; a unified exposition is given of Wang's theorem and the Jorgensen-Thurston theory; and much space is devoted to the 3D case: a complete and elementary proof of the hyperbolic surgery theorem, based on the representation of three manifolds as glued ideal tetrahedra.

"Sobre este título" puede pertenecer a otra edición de este libro.

Editorial
Springer
Año de publicación
2013
Idioma
Inglés
ISBN 10 
354055534X
ISBN 13 
9783540555346
Encuadernación
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Número de páginas
348
Contacto del fabricante
ProductSafety@springernature.com
ProductSafety@springernature.com

Poststr. 9
Darmstadt
64293
Alemania

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9780387555348: Lectures on Hyperbolic Geometry (Universitext)

Edición Destacada

ISBN 10:  038755534X ISBN 13:  9780387555348
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