Diffeomorphisms of Elliptic 3-Manifolds Sungbok Hong

ISBN: 9783642315633

Published: August 28th 2012

Paperback

155 pages


Description

Diffeomorphisms of Elliptic 3-Manifolds  by  Sungbok Hong

Diffeomorphisms of Elliptic 3-Manifolds by Sungbok Hong
August 28th 2012 | Paperback | PDF, EPUB, FB2, DjVu, talking book, mp3, ZIP | 155 pages | ISBN: 9783642315633 | 10.59 Mb

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 thatMoreThis 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



Enter the sum





Related Archive Books



Related Books


Comments

Comments for "Diffeomorphisms of Elliptic 3-Manifolds":


takmet.com.pl

©2014-2015 | DMCA | Contact us