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Examples of compact K-contact manifolds with no Sasakian metric

Using the Hard Lefschetz Theorem for Sasakian manifolds, we find two examples of compact K-contact nilmanifolds with no compatible Sasakian metric in dimensions five and seven, respectively

preprint2014arXivOpen access
Beniamino Cappelletti-MontanoAntonio De NicolaJuan Carlos MarreroIvan Yudin
math.SGmath.DG
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Beniamino Cappelletti-MontanoAntonio De NicolaJuan Carlos MarreroIvan Yudin

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