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Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds - MaRDI portal

Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds (Q2135428)

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Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds
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    Quasi-regular Sasakian and K-contact structures on Smale-Barden manifolds (English)
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    6 May 2022
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    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.
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    Sasakian
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    K-contact
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    Smale-Barden manifold
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    K3 surface
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    cyclic orbifold
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