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 Micro/Nano Integrated Fabrication Technology and Its Applications in Microenergy Harvesting by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book The Carpathians: Integrating Nature and Society Towards Sustainability by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Ecological Comparisons of Sedimentary Shores by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Gigaseal Formation in Patch Clamping by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Temporary Skeletal Anchorage Devices by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Female Contraception by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Mathematik für Ingenieure: Verstehen – Rechnen – Anwenden by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Tscherne Unfallchirurgie by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Uroonkologie by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Tokamak Engineering Mechanics by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Cutaneous Manifestations of Child Abuse and Their Differential Diagnosis by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book From Publishing to Knowledge Networks by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Magnetic Resonance Angiography by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Organometallic Reactions and Polymerization by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein
Cover of the book Einfach ein gutes Team - Teambildung und -führung in Gesundheitsberufen 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