Diffeomorphisms of Elliptic 3-Manifolds [[electronic resource] /] / by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein

• Autore: Hong Sungbok
• Pubblicazione: Berlin, Heidelberg : , : Springer Berlin Heidelberg : , : Imprint : Springer, , 2012
• Edizione: 1st ed. 2012.
• Descrizione fisica: 1 online resource (X, 155 p. 22 illus.)
• Disciplina: 514.34
• Soggetto topico: Manifolds (Mathematics); Complex manifolds; Manifolds and Cell Complexes (incl. Diff.Topology)
• Persona (resp. second.): KalliongisJohn; McCulloughDarryl; RubinsteinJ. Hyam
• Note generali: Bibliographic Level Mode of Issuance: Monograph
• Nota di bibliografia: Includes bibliographical references (p. 145-147) and index.
• Nota di contenuto: 1 Elliptic 3-manifolds and the Smale Conjecture -- 2 Diffeomorphisms and Embeddings of Manifolds -- 3 The Method of Cerf and Palais -- 4 Elliptic 3-manifolds Containing One-sided Klein Bottles -- 5 Lens Spaces.
• Sommario/riassunto: 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.
• Titolo autorizzato: Diffeomorphisms of elliptic 3-manifolds
• ISBN: 3-642-31564-X
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910483671403321
• Lo trovi qui: Univ. Federico II
• Serie: Lecture Notes in Mathematics, . 0075-8434 ; ; 2055