WorldCat Linked Data Explorer

Turtle N-Triple JSON-LD RDF/XML HTML Contact Us Home

http://worldcat.org/entity/work/id/1122985970

Diffeomorphisms of elliptic 3-manifolds

Open All Close All

type

about

author

contributor

creator

description

http://schema.org/description

  • "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 material on diffeomorphism groups is included."

genre

http://schema.org/genre

  • "Llibres electrònics"
  • "Electronic books"
  • "Online-Publikation"

name

http://schema.org/name

  • "Diffeomorphisms of elliptic 3-manifolds"
  • "Diffeomorphisms of elliptic 3-manifolds"@en
  • "Diffeomorphisms of Elliptic 3-Manifolds"

workExample