Geodesic
On Subcritically Stein Fillable 5-manifolds
Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 85-96

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DOI

We make some elementary observations concerning subcritically Stein fillable contact structures on 5-manifolds. Specifically, we determine the diffeomorphism type of such contact manifolds in the case where the fundamental group is finite cyclic, and we show that on the 5-sphere, the standard contact structure is the unique subcritically fillable one. More generally, it is shown that subcritically fillable contact structures on simply connected 5-manifolds are determined by their underlying almost contact structure. Along the way, we discuss the homotopy classification of almost contact structures.
DOI : 10.4153/CMB-2017-011-8
Mots-clés : 53D35, 32Q28, 57M20, 57Q10, 57R17, subcritically Stein fillable, 5-manifold, almost contact structure, thickening 
Ding, Fan; Geiges, Hansjörg; Zhang, Guangjian. On Subcritically Stein Fillable 5-manifolds. Canadian mathematical bulletin, Tome 61 (2018) no. 1, pp. 85-96. doi: 10.4153/CMB-2017-011-8
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     title = {On {Subcritically} {Stein} {Fillable} 5-manifolds},
     journal = {Canadian mathematical bulletin},
     pages = {85--96},
     year = {2018},
     volume = {61},
     number = {1},
     doi = {10.4153/CMB-2017-011-8},
     url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-2017-011-8/}
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