Some complex Grassmannian manifolds that do not fibre nontrivially

DOI10.1016/0166-8641(91)90107-WzbMath0746.57010MaRDI QIDQ1187111

John Ferdinands

Publication date: 28 June 1992

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

zbMATH Keywords

Hurewicz fibrationComplex Grassmannianshomogeneous spaces with non-zero Euler-Poincaré numbers

Mathematics Subject Classification ID

Topology of vector bundles and fiber bundles (57R22) Fiber spaces in algebraic topology (55R05) Transfer for fiber spaces and bundles in algebraic topology (55R12) Homology and homotopy of topological groups and related structures (57T99)

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\(G_{s,3}(C)\) is prime if \(n\) is odd

Cites Work

• On the non-existence of elements of Hopf invariant one
• On the signature of Grassmannians
• Applications of the evaluation map and transfer map theorems
• Poincaré complexes. I
• Topics in the homology theory of fibre bundles. Lectures given at the University of Chicago, 1954. Notes by E. Halpern
• On the Index of a Fibered Manifold
• Characteristic Classes. (AM-76)
• Fibrations with Compact Fibres
• Rational Fibrations, Minimal Models, and Fibrings of Homogeneous Spaces
• Surgery on Poincaré and normal spaces
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