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LECTURES ON HYPERBOLIC GEOMETRY IBD

SPRINGER
07 / 2003
9783540555346
Anglès

Sinopsi

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.

PVP
78,29