bokomslag Diffeomorphisms of Elliptic 3-Manifolds
Vetenskap & teknik

Diffeomorphisms of Elliptic 3-Manifolds

Sungbok Hong John Kalliongis Darryl McCullough J Hyam Rubinstein

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  • 155 sidor
  • 2012
This work concerns the diffeomorphism groups of 3-manifolds, in particular of elliptic 3-manifolds. These are the closed 3-manifolds that admit a Riemannian metric of constant positive curvature, now known to be exactly the closed 3-manifolds that have a finite fundamental group. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry group of M to its diffeomorphism group is a homotopy equivalence. The original Smale Conjecture, for the 3-sphere, was proven by J. Cerf and A. Hatcher, and N. Ivanov proved the generalized conjecture for many of the elliptic 3-manifolds that contain a geometrically incompressible Klein bottle. The main results establish the Smale Conjecture for all elliptic 3-manifolds containing geometrically incompressible Klein bottles, and for all lens spaces L(m,q) with m at least 3. Additional results imply that for a Haken Seifert-fibered 3 manifold V, the space of Seifert fiberings has contractible components, and apart from a small list of known exceptions, is contractible. Considerable foundational and background
  • Författare: Sungbok Hong, John Kalliongis, Darryl McCullough, J Hyam Rubinstein
  • Illustratör: 3 schwarz-weiße Tabellen 22 schwarz-weiße Abbildungen
  • Format: Pocket/Paperback
  • ISBN: 9783642315633
  • Språk: Engelska
  • Antal sidor: 155
  • Utgivningsdatum: 2012-08-28
  • Förlag: Springer-Verlag Berlin and Heidelberg GmbH & Co. K