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

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

arxiv: 1507.04661 · v2 · pith:F7IXVZVMnew · submitted 2015-07-16 · 🧮 math.DG · math.AT

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

Beniamino Cappelletti-Montano , Antonio De Nicola , Juan Carlos Marrero , Ivan Yudin This is my paper

classification 🧮 math.DG math.AT

keywords manifoldslefschetzsasakiantievskytypeadmitcompactcompletely

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

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