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Titlebook: Diffeomorphisms of Elliptic 3-Manifolds; Sungbok Hong,John Kalliongis,J. Hyam Rubinstein Book 2012 Springer-Verlag Berlin Heidelberg 2012

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發(fā)表于 2025-3-21 18:16:36 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Diffeomorphisms of Elliptic 3-Manifolds
編輯Sungbok Hong,John Kalliongis,J. Hyam Rubinstein
視頻videohttp://file.papertrans.cn/279/278600/278600.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Diffeomorphisms of Elliptic 3-Manifolds;  Sungbok Hong,John Kalliongis,J. Hyam Rubinstein Book 2012 Springer-Verlag Berlin Heidelberg 2012
描述.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 .
出版日期Book 2012
關(guān)鍵詞3-manifold; 57M99, 57S10, 58D05, 58D29; Frechet; Smale Conjecture; elliptic
版次1
doihttps://doi.org/10.1007/978-3-642-31564-0
isbn_softcover978-3-642-31563-3
isbn_ebook978-3-642-31564-0Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2012
The information of publication is updating

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沙發(fā)
發(fā)表于 2025-3-21 20:39:47 | 只看該作者
板凳
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The Method of Cerf and Palais,cally trivial fibration of the spaces of mappings involved. In this chapter, this theorem is extended to other maps between spaces of mappings, in particular to the map sending each fiber-preserving diffeomorphism of a bundle to the diffeomorphism it induces on the base manifold. Versions with bound
地板
發(fā)表于 2025-3-22 06:01:11 | 只看該作者
Elliptic Three-Manifolds Containing One-Sided Klein Bottles,pace .(4, 1). The technique takes a parameterized family of diffeomorphisms and uses its restriction to embeddings of the Klein bottles to deform the diffeomorphisms to preserve a Seifert fibration of the manifolds. The Conjecture is deduced from this. Another key element of the proof is a collectio
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發(fā)表于 2025-3-22 15:30:03 | 只看該作者
Elliptic Three-Manifolds and the Smale Conjecture,d section, we will state our main results on the Smale Conjecture, and provide some historical context. In the final two sections, we discuss isometries of nonelliptic three-manifolds, and address the possibility of applying Perelman’s methods to the Smale Conjecture.
7#
發(fā)表于 2025-3-22 20:33:00 | 只看該作者
8#
發(fā)表于 2025-3-22 23:56:43 | 只看該作者
Lens Spaces,we always select . so that ..In this chapter, we will prove Theorem 1.3, the Smale Conjecture for Lens Spaces. The argument is regrettably quite lengthy. It uses a lot of combinatorial topology, but draws as well on some mathematics unfamiliar to many low-dimensional topologists. We have already see
9#
發(fā)表于 2025-3-23 03:47:59 | 只看該作者
Book 2012 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 .
10#
發(fā)表于 2025-3-23 08:48:25 | 只看該作者
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