Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds. (English) Zbl 1497.53092
This paper concerns on the existence of Sasakian or K-contact structures on Smale-Barden manifolds. Many interesting examples with different properties are presented, including a Sasakian quasi-regular but not Sasakian semi-regular Smale-Barden manifold and a quasi-regular Sasakian but not K-contact semi-regular Smale-Barden manifold. The authors also classified the Smale-Barden manifolds with null Sasakian structures.
Reviewer: Bin Zhou (Beijing)
MSC:
| 53C25 | Special Riemannian manifolds (Einstein, Sasakian, etc.) |
| 53D35 | Global theory of symplectic and contact manifolds |
| 14J28 | \(K3\) surfaces and Enriques surfaces |
| 14J17 | Singularities of surfaces or higher-dimensional varieties |
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