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Diffeomorphisms of Elliptic 3-Manifolds (Paperback, 2012 ed.) Loot Price: R1,361
Discovery Miles 13 610
Diffeomorphisms of Elliptic 3-Manifolds (Paperback, 2012 ed.): Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam...

Diffeomorphisms of Elliptic 3-Manifolds (Paperback, 2012 ed.)

Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein

Series: Lecture Notes in Mathematics, 2055

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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

General

Imprint: Springer-Verlag
Country of origin: Germany
Series: Lecture Notes in Mathematics, 2055
Release date: August 2012
First published: 2012
Authors: Sungbok Hong • John Kalliongis • Darryl McCullough • J. Hyam Rubinstein
Dimensions: 235 x 155 x 9mm (L x W x T)
Format: Paperback
Pages: 155
Edition: 2012 ed.
ISBN-13: 978-3-642-31563-3
Categories: Books > Science & Mathematics > Mathematics > Geometry > Analytic geometry
Books > Science & Mathematics > Mathematics > Topology > Analytic topology
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LSN: 3-642-31563-1
Barcode: 9783642315633

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