Geometric proof of the easy part of the Hopf invariant one theorem

Pjotr Akhmet'ev; András Szücs

Displaying similar documents to “Geometric proof of the easy part of the Hopf invariant one theorem”

On fibration of spheres by spheres and hopf invariant

K. Srinivasacharyulu (1958-1960)

Séminaire Ehresmann. Topologie et géométrie différentielle

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Contact topology and the structure of 5-manifolds with $π_{1} = ℤ_{2}$

Hansjörg Geiges, Charles B. Thomas (1998)

Annales de l'institut Fourier

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We prove a structure theorem for closed, orientable 5-manifolds $M$ with fundamental group $π_{1} (M) = ℤ_{2}$ and second Stiefel-Whitney class equal to zero on $H_{2} (M)$ . This structure theorem is then used to construct contact structures on such manifolds by applying contact surgery to fake projective spaces and certain $ℤ_{2}$ -quotients of $S^{2} \times S^{3}$ .