A homotopy classification of certain 7-manifolds

DOI10.1090/S0002-9947-97-01962-4zbMath0880.57013MaRDI QIDQ4337960

Bernd Kruggel

Publication date: 27 May 1997

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

homogeneous spaceshomotopy typesWallach spaces

Mathematics Subject Classification ID

Algebraic topology of manifolds (57N65) Homotopy groups of topological groups and homogeneous spaces (57T20) Algebraic topology on manifolds and differential topology (57R19)

Related Items (9)

Classifying seven dimensional manifolds of fixed cohomology type ⋮ The classification of compact simply connected biquotients in dimension 6 and 7 ⋮ On the topology of \(G\)-manifolds with finitely many non-principal orbits ⋮ Torus actions on rationally elliptic manifolds ⋮ CONNECTIONS AND GENERALIZED GAUGE TRANSFORMATIONS ⋮ Orbifold fibrations of Eschenburg spaces ⋮ Topology of non-negatively curved manifolds ⋮ Open manifolds with non-homeomorphic positively curved souls ⋮ A diffeomorphism classification of generalized Witten manifolds

Cites Work

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• Some nondiffeomorphic homeomorphic homogeneous 7-manifolds with positive sectional curvature
• 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
• On the topology of double coset manifolds
• Homeomorphism and diffeomorphism types of Eschenburg spaces
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures
• Search for a realistic Kaluza-Klein theory
• Problem of Energy in an Expanding Universe

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