Diffeomorphisms of elliptic 3-manifolds
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) S...
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| Auteurs principaux: | , , , |
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| Outros Autores: | , , , |
| Formato: | Livre numérique |
| Idioma: | Anglais |
| Publicado em: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Edição: | 1st ed. 2012. |
| Colecção: | Lecture notes in mathematics
2055 |
| Assuntos: | |
| Acesso em linha: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Nota: |
L'impression du document génère 162 p. Autres contributions : J. Hyam Rubinstein (co-auteur) Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Diffeomorphisms of elliptic 3-manifolds, Sungbok Hong, John Kalliongis, Darryl McCullough... [et al.], Heidelberg, Springer Verlag, 2012, 1 vol. (X-155 p.), Lecture notes in mathematics, 978-3-642-31563-3 • Diffeomorphisms of Elliptic 3-Manifolds, Texte imprimé, 9783642315657 • Diffeomorphisms of elliptic 3-manifolds, Sungbok Hong, John Kalliongis, Darryl McCullough... [et al.], Heidelberg, Springer Verlag, 2012, 1 vol. (X-155 p.), Lecture notes in mathematics, 978-3-642-31563-3 |
| Resumo: | 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 |
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| Descrição do item: | L'impression du document génère 162 p. Autres contributions : J. Hyam Rubinstein (co-auteur) Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Bibliografia: | Bibliogr. Index |
| ISBN: | 9783642315640 |
| ISSN: | 1617-9692 |
| Acesso: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |