no. 4
Contact topology and the structure of 5-manifolds with π 1 =ℤ 2
Annales de l'Institut Fourier, Tome 48 (1998) no. 4, pp. 1167-1188.

Nous démontrons un théorème relatif à la structure des variétés M fermées, orientables, de dimension 5 avec groupe fondamental π 1 (M)=ℤ 2 et deuxième classe de Stiefel-Whitney égale à zéro sur H 2 (M). Ce théorème est alors utilisé pour construire des structures de contact sur ces variétés en appliquant la chirurgie de contact à de faux espaces projectifs et certains quotients de S 2 ×S 3 par une involution.

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 ×S 3 .

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     author = {Geiges, Hansj\"org and Thomas, Charles B.},
     title = {Contact topology and the structure of 5-manifolds with $\pi _1={\mathbb {Z}}_2$},
     journal = {Annales de l'Institut Fourier},
     pages = {1167--1188},
     publisher = {Association des Annales de l{\textquoteright}institut Fourier},
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Geiges, Hansjörg; Thomas, Charles B. Contact topology and the structure of 5-manifolds with $\pi _1={\mathbb {Z}}_2$. Annales de l'Institut Fourier, Tome 48 (1998) no. 4, pp. 1167-1188. doi : 10.5802/aif.1653. https://aif.centre-mersenne.org/articles/10.5802/aif.1653/

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