Homeomorphism and diffeomorphism types of Eschenburg spaces

DOI10.1016/S0926-2245(96)00034-4zbMath0877.57016OpenAlexW1985674621WikidataQ115337637 ScholiaQ115337637MaRDI QIDQ1360118

O. Diekmann

Publication date: 10 December 1997

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

Full work available at URL: https://doi.org/10.1016/s0926-2245(96)00034-4

zbMATH Keywords

diffeomorphismhomeomorphismEschenburg spaces

Mathematics Subject Classification ID

Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Differentiable structures in differential topology (57R55)

Related Items (6)

Smooth Structures on Eschenburg Spaces: Numerical Computations ⋮ Classifying seven dimensional manifolds of fixed cohomology type ⋮ A homotopy classification of certain 7-manifolds ⋮ Topology of non-negatively curved manifolds ⋮ Topological properties of Eschenburg spaces and 3-Sasakian manifolds ⋮ On the topology of positively curved Bazaikin spaces

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
• Cohomology of biquotients
• On the topology of double coset manifolds
• Inhomogeneous spaces of positive curvature
• An infinite family of distinct 7-manifolds admitting positively curved Riemannian structures

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