Universität zu Köln

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

Full text not available from this repository.

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:	Creators Email ORCID ORCID Put Code Ding, Fan UNSPECIFIED UNSPECIFIED UNSPECIFIED Geiges, Hansjoerg UNSPECIFIED UNSPECIFIED UNSPECIFIED Zhang, Guangjian UNSPECIFIED UNSPECIFIED UNSPECIFIED
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:	Keywords Language MANIFOLDS; TOPOLOGY Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/19476