Contact self-dual geometry of quasi-Sasakian 5-manifolds |
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Authors: | A V Aristarkhova V F Kirichenko |
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Institution: | 1. Moscow State Pedagogical University, Moscow, Russia
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Abstract: | We construct a self-dual geometry of quasi-Sasakian 5-manifolds. Namely, we intrinsically define the notion of contact conformally semiflat (i.e., contact self-dual or contact antiself-dual) almost contact metric manifolds and also obtain a number of results concerning contact conformally semiflat quasi-Sasakian 5-manifolds. Themost important results concerning Sasakian and cosymplectic manifolds reveal interesting relationships between the characteristics of these manifolds such as contact self-duality and constancy of the Φ-holomorphic sectional curvature, contact anti-self-duality and Ricci flatness, etc. |
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