A fundamental element of the study of 3-manifolds is Thurston's
remarkable geometrization conjecture, which states that the
interior of every compact 3-manifold has a canonical decomposition
into pieces that have geometric structures. In most cases, these
structures are complete metrics of constant negative curvature,
that is to say, they are hyperbolic manifolds. The conjecture has
been proved in some important cases, such as Haken manifolds and
certain types of fibered manifolds. The influence of Thurston's
hyperbolization theorem on the geometry and topology of 3-manifolds
has been tremendous. This book presents a complete proof of the
hyperbolization theorem for 3-manifolds that fiber over the circle,
following the plan of Thurston's original (unpublished) proof,
though the double limit theorem is dealt with in a different way.
The book should be suitable for graduate students with a background
in modern techniques of low-dimensional topology and will also be
of interest to researchers in geometry and topology. This is the
English translation of a volume originally published in 1996 by the
Societe Mathematique de France.
General
Is the information for this product incomplete, wrong or inappropriate?
Let us know about it.
Does this product have an incorrect or missing image?
Send us a new image.
Is this product missing categories?
Add more categories.
Review This Product
No reviews yet - be the first to create one!