Universität zu Köln

Klukas, Mirko and Sahamie, Bijan (2013). ON PROLONGATIONS OF CONTACT MANIFOLDS. Proc. Amer. Math. Soc., 141 (9). S. 3257 - 3264. PROVIDENCE: AMER MATHEMATICAL SOC. ISSN 1088-6826

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Abstract

We apply spectral sequences to derive both an obstruction to the existence of n-fold prolongations and a topological classification. Prolongations have been used in the literature in an attempt to prove that every Engel structure on M x S-1 with characteristic line field tangent to the fibers is determined by the contact structure induced on a cross section and the twisting of the Engel structure along the fibers. Our results show that this statement needs some modification: to classify the diffeomorphism type of the Engel structure, we additionally have to fix a class in the first cohomology of M.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Klukas, Mirko UNSPECIFIED UNSPECIFIED UNSPECIFIED Sahamie, Bijan UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-476368
DOI:	10.1090/S0002-9939-2013-11777-6
Journal or Publication Title:	Proc. Amer. Math. Soc.
Volume:	141
Number:	9
Page Range:	S. 3257 - 3264
Date:	2013
Publisher:	AMER MATHEMATICAL SOC
Place of Publication:	PROVIDENCE
ISSN:	1088-6826
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language Mathematics, Applied; Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/47636