• East Asian mathematical journal
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• v.22 no.1
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• pp.111-130
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• 2006

We study cosymplectic submersions with vanishing cosymplectic Bochner curvature tensor.

• Journal of the Korean Mathematical Society
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• v.15 no.1
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• pp.29-37
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• 1978

• Bulletin of the Korean Mathematical Society
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• v.32 no.1
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• pp.25-34
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• 1995

S. Tachibana [10] has defined a confornal Killing tensor in a n-dimensional Riemannian manifold M by a skew symmetric tensor $u_[ji}$ satisfying the equation $$ \nabla_k u_{ji} + \nabla_j u_{ki} = 2\rho_i g_{kj} - \rho_j g_{ki} - \rho_k g_{ji}, $$ where $g_{ji}$ is the metric tensor of M, $\nabla$ denotes the covariant derivative with respect to $g_{ji}$ and $\rho_i$ is a associated covector field of $u_{ji}$. In here, a covector field means a 1-form.