A Smale-Barden manifold admitting K-contact but not Sasakian structure

Vicente Muñoz

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arXiv · 2011.05783

A Smale-Barden manifold admitting K-contact but not Sasakian structure

Vicente Muñoz

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Abstract

We give the first example of a simply connected compact 5-manifold (Smale-Barden manifold) which admits a K-contact structure but does not admit any Sasakian structure, settling a long standing question of Boyer and Galicki.

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Vicente Muñoz. 2020-11-11. A Smale-Barden manifold admitting K-contact but not Sasakian structure. https://arxiv.org/abs/2011.05783

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