00991nam0-22003491i-450-9900014335404033210-691-08304-5000143354FED01000143354(Aleph)000143354FED0100014335420000920d1997----km-y0itay50------baengThree-dimensional geometry and topologyWillia P. ThurstonPrinceton [N.J.]Princeton University Press1997-Princeton mathematical series35VarietaTopologia di varieta tridimensionaliGeometria iperbolica516.07Thurston,William P.61560Levy,SilvioITUNINARICAUNIMARCBK990001433540403321C-45-(3515398MA1MA157-0257N10Three-dimensional geometry and topology374740UNINAING0103594nam 22005775 450 99646647520331620200704035443.03-642-31564-X10.1007/978-3-642-31564-0(CKB)3400000000085874(SSID)ssj0000745912(PQKBManifestationID)11434884(PQKBTitleCode)TC0000745912(PQKBWorkID)10877287(PQKB)10159441(DE-He213)978-3-642-31564-0(MiAaPQ)EBC3070499(PPN)165115408(EXLCZ)99340000000008587420120828d2012 u| 0engurnn|008mamaatxtccrDiffeomorphisms of Elliptic 3-Manifolds[electronic resource] /by Sungbok Hong, John Kalliongis, Darryl McCullough, J. Hyam Rubinstein1st ed. 2012.Berlin, Heidelberg :Springer Berlin Heidelberg :Imprint: Springer,2012.1 online resource (X, 155 p. 22 illus.) Lecture Notes in Mathematics,0075-8434 ;2055Bibliographic Level Mode of Issuance: Monograph3-642-31563-1 Includes bibliographical references (p. 145-147) and index.1 Elliptic 3-manifolds and the Smale Conjecture -- 2 Diffeomorphisms and Embeddings of Manifolds -- 3 The Method of Cerf and Palais -- 4 Elliptic 3-manifolds Containing One-sided Klein Bottles -- 5 Lens Spaces.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 material on diffeomorphism groups is included.Lecture Notes in Mathematics,0075-8434 ;2055Manifolds (Mathematics)Complex manifoldsManifolds and Cell Complexes (incl. Diff.Topology)https://scigraph.springernature.com/ontologies/product-market-codes/M28027Manifolds (Mathematics).Complex manifolds.Manifolds and Cell Complexes (incl. Diff.Topology).514.34Hong Sungbokauthttp://id.loc.gov/vocabulary/relators/aut477686Kalliongis Johnauthttp://id.loc.gov/vocabulary/relators/autMcCullough Darrylauthttp://id.loc.gov/vocabulary/relators/autRubinstein J. Hyamauthttp://id.loc.gov/vocabulary/relators/autBOOK996466475203316Diffeomorphisms of elliptic 3-manifolds241172UNISA