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arxiv: 1311.3270 · v2 · pith:YOYMNEXKnew · submitted 2013-11-13 · 🧮 math.DG · math.SG

Examples of compact K-contact manifolds with no Sasakian metric

Beniamino Cappelletti-Montano , Antonio De Nicola , Juan Carlos Marrero , Ivan Yudin This is my paper
classification 🧮 math.DG math.SG
keywords sasakiancompactexamplesk-contactmanifoldsmetriccompatibledimensions
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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

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