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arXiv · 1507.04661

A non-Sasakian Lefschetz K-contact manifold of Tievsky type

Beniamino Cappelletti-Montano·Antonio De Nicola·Juan Carlos Marrero·Ivan Yudin
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Abstract

We find a family of five dimensional completely solvable compact manifolds that constitute the first examples of $K$-contact manifolds which satisfy the Hard Lefschetz Theorem and have a model of Tievsky type just as Sasakian manifolds but do not admit any Sasakian structure.

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Beniamino Cappelletti-Montano, Antonio De Nicola, Juan Carlos Marrero, Ivan Yudin. 2016-03-07. A non-Sasakian Lefschetz K-contact manifold of Tievsky type. https://doi.org/10.1090/proc%2F13187

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