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On simply connected K-contact non-Sasakian manifolds

We solve the problem posed by Boyer and Galicki about the existence of K-contact simply connected manifolds with no Sasakian structure. Although the result lies in the framework of metric contact geometry, our methods come from contact and symplectic geometry and are based on the method of fat bundles developed by Sternberg, Weinstein and Lerman.

preprint2013arXivOpen access
Boguslaw HajdukAleksy Tralle
math.DG
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Boguslaw HajdukAleksy Tralle

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