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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主要な著者: Hong, Sungbok, Kalliongis, John (著者), McCullough, Darryl (著者), Rubinstein, J Hyam (著者)
その他の著者: Hong, Sungbok, 19..- (共編者), Kalliongis, John, 19..- (共編者), McCullough, Darryl, 1951- (共編者), Rubinstein, Hyam, 1948- (共編者)
フォーマット: Livre numérique
言語:Anglais
出版事項: Berlin, Heidelberg : Springer Berlin Heidelberg [20..].
Cham : Springer Nature
版:1st ed. 2012.
シリーズ:Lecture notes in mathematics 2055
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注記: 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
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505 1 |a 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 
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520 |a 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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700 1 |a Kalliongis, John,  |d 19..-  |4 clb 
700 1 |a McCullough, Darryl,  |d 1951-  |4 clb 
700 1 |a Rubinstein, Hyam,  |d 1948-  |4 clb 
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