Lectures on Hyperbolic Geometry / Edition 1

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More About This Textbook

Overview

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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Product Details

  • ISBN-13: 9783540555346
  • Publisher: Springer-Verlag New York, LLC
  • Publication date: 9/9/2003
  • Series: Universitext Series
  • Edition description: 1st ed. 1992. 2nd printing 2003
  • Edition number: 1
  • Pages: 344
  • Product dimensions: 0.73 (w) x 6.14 (h) x 9.21 (d)

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