By Sungbok Hong,John Kalliongis,Darryl McCullough,J. Hyam Rubinstein
This paintings issues the diffeomorphism teams of 3-manifolds, specifically of elliptic 3-manifolds. those are the closed 3-manifolds that admit a Riemannian metric of continuing confident curvature, referred to now to be precisely the closed 3-manifolds that experience a finite basic team. The (Generalized) Smale Conjecture asserts that for any elliptic 3-manifold M, the inclusion from the isometry workforce of M to its diffeomorphism staff is a homotopy equivalence. the unique Smale Conjecture, for the 3-sphere, was once confirmed via J. Cerf and A. Hatcher, and N. Ivanov proved the generalized conjecture for plenty of of the elliptic 3-manifolds that include a geometrically incompressible Klein bottle.
The major effects determine the Smale Conjecture for all elliptic 3-manifolds containing geometrically incompressible Klein bottles, and for all lens areas L(m,q) with m at the least three. extra effects suggest that for a Haken Seifert-fibered three manifold V, the gap of Seifert fiberings has contractible elements, and except a small record of identified exceptions, is contractible. substantial foundational and historical past
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Extra info for Diffeomorphisms of Elliptic 3-Manifolds (Lecture Notes in Mathematics)
Diffeomorphisms of Elliptic 3-Manifolds (Lecture Notes in Mathematics) by Sungbok Hong,John Kalliongis,Darryl McCullough,J. Hyam Rubinstein