Diffeomorphisms of elliptic 3-manifolds / / Sungbok Hong ... [et al.]
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| Autore: |
Hong Sungbok
|
| Titolo: |
Diffeomorphisms of elliptic 3-manifolds / / Sungbok Hong ... [et al.]
|
| Pubblicazione: | Berlin ; ; Heidelberg, : Springer Verlag, 2012 |
| Edizione: | 1st ed. 2012. |
| Descrizione fisica: | 1 online resource (X, 155 p. 22 illus.) |
| Disciplina: | 514.34 |
| Soggetto topico: | Diffeomorphisms |
| Three-manifolds (Topology) | |
| Altri autori: |
KalliongisJohn
McCulloughDarryl <1951->
RubinsteinJoachim 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 |
| Opac: | Controlla la disponibilità qui |
Serie:
Lecture notes in mathematics (Springer-Verlag) ; ; 2055.