| 书目名称 | Diffeomorphisms of Elliptic 3-Manifolds | | 编辑 | Sungbok Hong,John Kalliongis,J. Hyam Rubinstein | | 视频video | | | 概述 | Includes supplementary material: | | 丛书名称 | Lecture Notes in Mathematics | | 图书封面 |  | | 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 | | 关键词 | 3-manifold; 57M99, 57S10, 58D05, 58D29; Frechet; Smale Conjecture; elliptic | | 版次 | 1 | | doi | https://doi.org/10.1007/978-3-642-31564-0 | | isbn_softcover | 978-3-642-31563-3 | | isbn_ebook | 978-3-642-31564-0Series ISSN 0075-8434 Series E-ISSN 1617-9692 | | issn_series | 0075-8434 | | copyright | Springer-Verlag Berlin Heidelberg 2012 |
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发表于 2025-3-21 18:16:36
