Cargando…
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...
| Clasificación: | Libro Electrónico |
|---|---|
| Autores principales: | , , , |
| Autor Corporativo: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Berlin, Heidelberg :
Springer Berlin Heidelberg : Imprint: Springer,
2012.
|
| Edición: | 1st ed. 2012. |
| Colección: | Lecture Notes in Mathematics,
2055 |
| Temas: | |
| Acceso en línea: | Texto Completo |
MARC
| LEADER | 00000nam a22000005i 4500 | ||
|---|---|---|---|
| 001 | 978-3-642-31564-0 | ||
| 003 | DE-He213 | ||
| 005 | 20220116164718.0 | ||
| 007 | cr nn 008mamaa | ||
| 008 | 120828s2012 gw | s |||| 0|eng d | ||
| 020 | |a 9783642315640 |9 978-3-642-31564-0 | ||
| 024 | 7 | |a 10.1007/978-3-642-31564-0 |2 doi | |
| 050 | 4 | |a QA613-613.8 | |
| 072 | 7 | |a PBP |2 bicssc | |
| 072 | 7 | |a MAT038000 |2 bisacsh | |
| 072 | 7 | |a PBP |2 thema | |
| 082 | 0 | 4 | |a 514.34 |2 23 |
| 100 | 1 | |a Hong, Sungbok. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Diffeomorphisms of Elliptic 3-Manifolds |h [electronic resource] / |c by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein. |
| 250 | |a 1st ed. 2012. | ||
| 264 | 1 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg : |b Imprint: Springer, |c 2012. | |
| 300 | |a X, 155 p. 22 illus. |b online resource. | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 1 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2055 | |
| 505 | 0 | |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. | |
| 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. | ||
| 650 | 0 | |a Manifolds (Mathematics). | |
| 650 | 1 | 4 | |a Manifolds and Cell Complexes. |
| 700 | 1 | |a Kalliongis, John. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a McCullough, Darryl. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 700 | 1 | |a Rubinstein, J. Hyam. |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 710 | 2 | |a SpringerLink (Online service) | |
| 773 | 0 | |t Springer Nature eBook | |
| 776 | 0 | 8 | |i Printed edition: |z 9783642315657 |
| 776 | 0 | 8 | |i Printed edition: |z 9783642315633 |
| 830 | 0 | |a Lecture Notes in Mathematics, |x 1617-9692 ; |v 2055 | |
| 856 | 4 | 0 | |u https://doi.uam.elogim.com/10.1007/978-3-642-31564-0 |z Texto Completo |
| 912 | |a ZDB-2-SMA | ||
| 912 | |a ZDB-2-SXMS | ||
| 912 | |a ZDB-2-LNM | ||
| 950 | |a Mathematics and Statistics (SpringerNature-11649) | ||
| 950 | |a Mathematics and Statistics (R0) (SpringerNature-43713) | ||