Ding, Fan, Geiges, Hansjoerg and Zhang, Guangjian (2018). On Subcritically Stein Fillable 5-manifolds. Can. Math. Bul.-Bul. Can. Math., 61 (1). S. 85 - 97. OTTAWA: CANADIAN MATHEMATICAL SOC. ISSN 1496-4287

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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 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.

Item Type: Journal Article
Creators:
CreatorsEmailORCIDORCID Put Code
Ding, FanUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Geiges, HansjoergUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
Zhang, GuangjianUNSPECIFIEDUNSPECIFIEDUNSPECIFIED
URN: urn:nbn:de:hbz:38-194761
DOI: 10.4153/CMB-2017-011-8
Journal or Publication Title: Can. Math. Bul.-Bul. Can. Math.
Volume: 61
Number: 1
Page Range: S. 85 - 97
Date: 2018
Publisher: CANADIAN MATHEMATICAL SOC
Place of Publication: OTTAWA
ISSN: 1496-4287
Language: English
Faculty: Unspecified
Divisions: Unspecified
Subjects: no entry
Uncontrolled Keywords:
KeywordsLanguage
MANIFOLDS; TOPOLOGYMultiple languages
MathematicsMultiple languages
Refereed: Yes
URI: http://kups.ub.uni-koeln.de/id/eprint/19476

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