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- W2949571837 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 $Mtimesmathbb{S}^1$ 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 $M$." @default.
- W2949571837 created "2019-06-27" @default.
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- W2949571837 date "2011-07-29" @default.
- W2949571837 modified "2023-09-27" @default.
- W2949571837 title "On prolongations of contact manifolds" @default.
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- W2949571837 hasPublicationYear "2011" @default.
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