\(J\)-trajectories in Vaisman manifolds (Q2672313)
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| Language | Label | Description | Also known as |
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| English | \(J\)-trajectories in Vaisman manifolds |
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\(J\)-trajectories in Vaisman manifolds (English)
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8 June 2022
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Locally conformal Kähler manifolds with parallel Lee fields are called Vaisman manifolds. The authors prove that the curvatures along a smooth curve satisfying the J-trajectory equation in general Vaisman manifolds and J-trajectories are Frenet curves of order at most 4. J-trajectories of constant curvatures in the product spaces of Sasakian manifolds and the real line explicitly are determined.
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\(J\)-trajectory
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magnetic curve
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Vaisman manifold
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Sasakian space forms
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slant curve
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Legendre curve
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