Lectures on Hyperbolic Geometry
Riccardo Benedetti, Carlo Petronio
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:
,
english, 1992
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