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Lectures on Hyperbolic Geometry

Lectures on Hyperbolic Geometry

Riccardo Benedetti, Carlo Petronio
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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 Teichm?ller 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.
Categorias:
Ano:
1992
Editora:
Springer
Idioma:
english
Páginas:
343
ISBN 10:
354055534X
ISBN 13:
9783540555346
Série:
Universitext
Arquivo:
DJVU, 8.13 MB
IPFS:
CID , CID Blake2b
english, 1992
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