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arXiv · 1408.2496

Simply-connected K-contact and Sasakian manifolds of dimension 7

Vicente Munoz·Aleksy Tralle
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Abstract

We construct a compact simply-connected 7-dimensional manifold admitting a K-contact structure but not a Sasakian structure. We also study rational homotopy properties of such manifolds, proving in particular that a simply-connected 7-dimensional Sasakian manifold has vanishing cup-product on the second cohomology and that it is formal if and only if all its triple Massey products vanish.

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Vicente Munoz, Aleksy Tralle. 2014-08-18. Simply-connected K-contact and Sasakian manifolds of dimension 7. https://doi.org/10.1007/s00209-015-1494-8

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