On the structure of 5-manifolds

From MaRDI portal
Publication:774362

DOI10.2307/1970417zbMath0101.16103OpenAlexW2334595009MaRDI QIDQ774362

Stephen Smale

Publication date: 1962

Published in: Annals of Mathematics. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/1970417




Related Items (73)

ON SASAKIAN–EINSTEIN GEOMETRYGompf connected sum for orbifolds and K-contact Smale-Barden manifoldsNonnegatively curved five-manifolds with non-abelian symmetrySymplectic homology of some Brieskorn manifoldsSasakian-Einstein structures on $9\#(S^2\times S^3)$On the classification of Smale–Barden manifolds with Sasakian structuresIrreducible SO(3) geometry in dimension fiveQuasi-regular Sasakian and K-contact structures on Smale-Barden manifoldsBrieskorn manifolds, positive Sasakian geometry, and contact topologyOn Sasaki-Einstein manifolds in dimension fiveToric geometry, Sasaki-Einstein manifolds and a new infinite class of AdS/CFT dualsOn \(\eta\)-Einstein Sasakian geometryOn mapping degrees between 1-connected 5-manifoldsPainlevé analysis of the Ricci-flat ordinary differential equations associated with Aloff–Wallach spaces and U(1)-bundles over Fano productsNew example of infinite family of quiver gauge theoriesCodimension $1$ foliations on simply connected $5$-manifoldsMultiplicity of singularities is not a bi-Lipschitz invariantThe topological types of hypersurface simple \(K3\) singularitiesSingular Riemannian foliations and applications to positive and non-negative curvature: Figure 1.The topology of Stein fillable manifolds in high dimensions. II (with an appendix by Bernd C. Kellner)Sasaki structures distinguished by their basic Hodge numbersSelective symplectic homology with applications to contact non-squeezingManifolds that admit a double disk-bundle decompositionGeneralized Luttinger surgery and other cut-and-paste constructions in generalized complex geometryExamples of asymptotically conical Ricci-flat Kähler manifoldsNew Sasaki–Einstein 5‐manifoldsSimply connected Sasaki-Einstein 5-manifolds: old and newNew Einstein metrics on \(8\#(S^{2}\times S^{3})\).A new construction of $6$-manifoldsExistence of Riemannian metrics with positive biorthogonal curvature on simply connected 5-manifoldsFree involutions on \(S ^{2} \times S ^{3}\)Forme de contact sur la somme connexe de deux variétés de contact de dimension impaireKummer-type constructions of almost Ricci-flat 5-manifoldsSemi-free actions with manifold orbit spacesLorentzian Sasaki-Einstein metrics on connected sums of \(S^{2} \times S^{3}\)Covering numbers of manifolds and critical points of a Morse functionAnosov diffeomorphisms of products I. Negative curvature and rational homology spheresBranched coverings of simply connected manifoldsThe classification of compact simply connected biquotients in dimensions 4 and 5Nonnegatively curved fixed point homogeneous 5-manifoldsOn 5-manifolds admitting rank two distributions of Cartan typeThe links of 3-dimensional singularities defined by Brieskorn polynomialsConstructions in Sasakian geometryMANIFOLDS THAT ARE NOT LEAVES OF CODIMENSION ONE FOLIATIONSOn Embedding Highly Connected Manifolds in Euclidean SpaceCohomogeneity one Einstein-Sasaki 5-manifoldsNull Sasaki \(\eta\)-Einstein structures in 5-manifoldsEmbedding 4-manifolds with vanishing second homologyComplete noncompact \(\operatorname{Spin}(7)\) manifolds from self-dual Einstein 4-orbifoldsBilinear and quadratic forms on torsion modulesHomotopy groups of highly connected manifoldsClassification of gradient-like flows on dimensions two and threeNonnegatively curved 5-manifolds with almost maximal symmetry rankExistence results of totally real immersions and embeddings into ℂ^{ℕ}Simply connected Sasaki-Einstein rational homology 5-spheresBrieskorn manifolds in contact topologyClassification of three-dimensional knots in two-connected six- dimensional manifoldsOn the minimal ordered Morse functions on compact simply-connected manifoldsOn entropies, \(\mathcal {F}\)-structures, and scalar curvature of certain involutionsOn reduced complexity of closed piecewise linear 5-manifoldsContact manifolds with flexible fillingsThe minimal number of critical points of a function on a compact manifold and the Lusternik-Schnirelman categorySommes connexes fibrées en cerclesOn the structure of \((n-1)\)-connected \(2n\)-dimensional \(\pi\)-manifoldsEmbeddings of non-simply-connected 4-manifolds in 7-space. I. Classification modulo knotsFibered knots and foliations of highly-connected manifoldsContact homology of good toric contact manifoldsCurvature, diameter, homotopy groups, and cohomology ringsDynamically exotic contact spheres in dimensions \(\geq 7\)Einstein metrics on five-dimensional Seifert bundlesThe moduli space of nonnegatively curved metrics on quotients of \(S^2 \times S^3\) by involutionsPeriodicity of branched cyclic covers of manifolds with open book decompositionsFIXED POINT FREE CIRCLE ACTIONS AND FINITENESS THEOREMS




This page was built for publication: On the structure of 5-manifolds