Diffeomorphisms of Elliptic 3-Manifolds

Nonfiction, Science & Nature, Mathematics, Topology, Geometry
Cover of the book Diffeomorphisms of Elliptic 3-Manifolds by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein, Springer Berlin Heidelberg
View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart
Author: Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein ISBN: 9783642315640
Publisher: Springer Berlin Heidelberg Publication: August 29, 2012
Imprint: Springer Language: English
Author: Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
ISBN: 9783642315640
Publisher: Springer Berlin Heidelberg
Publication: August 29, 2012
Imprint: Springer
Language: English

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

View on Amazon View on AbeBooks View on Kobo View on B.Depository View on eBay View on Walmart

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

More books from Springer Berlin Heidelberg

Cover of the book Microbial Mats by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Behavioral Neuroscience of Attention Deficit Hyperactivity Disorder and Its Treatment by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Contributions to the Psychobiology of Aging by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book The Surgery of Childhood Tumors by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Fast Software Encryption by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Cyberspace and International Relations by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book The Development of the Lymphatic System in Man by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Die "Kind als Schaden"-Rechtsprechung im Verhältnis zu den §§ 218 ff. StGB by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Histological Typing of Tumours of the Upper Respiratory Tract and Ear by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Rock Grouting by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Faszination Psychologie – Berufsfelder und Karrierewege by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Strafrecht Besonderer Teil 1 by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book CSR 2.0 by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Cotton by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Transgenic Animals as Model Systems for Human Diseases by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
We use our own "cookies" and third party cookies to improve services and to see statistical information. By using this website, you agree to our Privacy Policy