Hyperbolic Manifolds and Discrete Groups

Hyperbolic Manifolds and Discrete Groups

By Michael Kapovich

  • Category: Mathematics, Books, Science & Nature
  • Type: ebook
  • Release Date: 2009-08-04
  • File Size: 15.29MB
  • Developer: Michael Kapovich
  • App Ratings: 0/5 (0 App Reviews)
  • Price: $79.99

The file download will begin after you complete the registration. Downloader's Terms of Service | DMCA

Hyperbolic Manifolds and Discrete Groups Details

This classic book is at the crossroads of several branches of mathematics: hyperbolic geometry, discrete groups, 3-dimensional topology, geometric group theory, and complex analysis. The main focus throughout the text is on Thurston’s hyperbolization theorem, one of the central results of 3-dimensional topology that has completely changed the landscape of the field. The book contains a number of open problems and conjectures related to the hyperbolization theorem as well as rich discussions on related topics including geometric structures on 3-manifolds, higher dimensional negatively curved manifolds, and hyperbolic groups.

Featuring beautiful illustrations, a rich set of examples, numerous exercises, and an extensive bibliography and index, Hyperbolic Manifolds and Discrete Groups continues to serve as an ideal graduate text and comprehensive reference.

The book is very clearly written and fairly self-contained. It will be useful to researchers and advanced graduate students in the field and can serve as an ideal guide to Thurston's work and its recent developments.

---Mathematical Reviews

Beyond the hyperbolization theorem, this is an important book which had to be written; some parts are still technical and will certainly be streamlined and shortened in the next years, but together with Otal's work a complete published proof of the hyperbolization theorem is finally available. Apart from the proof itself, the book contains a lot of material which will be useful for various other directions of research.

---Zentralbatt MATH

This book can act as source material for a postgraduate course and as a reference text on the topic as the references are full and extensive. ... The text is self-contained and very well illustrated.

---ASLIB Book Guide


  • 5
    By Conan B
    Finally I get this ebook, thanks for all these Hyperbolic Manifolds and Discrete Groups I can get now!
  • 4
    By Jerri U
    My friends are so mad that they do not know how I have all the high quality ebook which they do not!
  • 3
    By Morse J
    Hyperbolic Manifolds and Discrete Groups was the best books I ever buy. Hyperbolic Manifolds and Discrete Groups did exactly what you said it does.
  • 4
    By Sybil E
    I would like to personally thank you for your outstanding books. It's really wonderful.
  • 3
    By Dewey K
    I will recommend you to my colleagues. Hyperbolic Manifolds and Discrete Groups is the most valuable books we have EVER purchased. I'd be lost without this. I am completely blown away.
  • 3
    By Yoshi A
  • 1
    By Ivett L
    wtffff i do not understand this!