Examples of compact K-contact manifolds with no Sasakian metric

Abstract

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

8 pages, accepted for publication in IJGMMP (Proceedings of the XXII IFWGP, University of Evora, Portugal)

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