On subcritically Stein fillable 5-manifolds

Fan Ding; Hansjörg Geiges; Guangjian Zhang

doi:10.4153/cmb-2017-011-8

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arXiv · 1610.07919

On subcritically Stein fillable 5-manifolds

Fan Ding·Hansjörg Geiges·Guangjian Zhang

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Abstract

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 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.

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Fan Ding, Hansjörg Geiges, Guangjian Zhang. 2016-10-25. On subcritically Stein fillable 5-manifolds. https://doi.org/10.4153/cmb-2017-011-8

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