Classifying seven dimensional manifolds of fixed cohomology type

DOI10.1016/j.difgeo.2016.09.006zbMath1361.55020OpenAlexW1827043629WikidataQ115355607 ScholiaQ115355607MaRDI QIDQ344187

Pongdate Montagantirud, Christine M. Escher

Publication date: 22 November 2016

Published in: Differential Geometry and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.difgeo.2016.09.006

zbMATH Keywords

characteristic classesdiffeomorphism classificationhomeomorphism classification

Mathematics Subject Classification ID

Characteristic classes and numbers in differential topology (57R20) Homology of classifying spaces and characteristic classes in algebraic topology (55R40) Classification of fiber spaces or bundles in algebraic topology (55R15)

Related Items

Topology of non-negatively curved manifolds

Cites Work

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• Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature
• Topologically invariant integral characteristic classes
• A diffeomorphism classification of 7-dimensional homogeneous Einstein manifolds with \(SU(3)\times SU(2)\times U(1)\)-symmetry
• New examples of manifolds with strictly positive curvature
• An exotic sphere with nonnegative sectional curvature
• On a certain family of closed 13-dimensional Riemannian manifolds of positive curvature
• Homeomorphism and diffeomorphism types of Eschenburg spaces
• Topological properties of Eschenburg spaces and 3-Sasakian manifolds
• Simply connected five-manifolds
• Compact homogeneous Riemannian manifolds with strictly positive curvature
• A diffeomorphism classification of generalized Witten manifolds
• An invariant for certain smooth manifolds
• On \(C^1\)-complexes
• Homeomorphism and diffeomorphism classification of Eschenburg spaces
• Classifying Spaces for Surgery and Corbordism of Manifolds. (AM-92)
• Characteristic Classes. (AM-76)
• Linking Forms and Maps of Odd Prime Order
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• A homotopy classification of certain 7-manifolds