• Bulletin of the Korean Mathematical Society
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• v.33 no.2
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• pp.243-251
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• 1996

In a Sasakian manifold, a C-Bochner curvature tensor is constructed from the Bochner curvature tensor in a Kaehlefian manifold by the fibering of Boothby-wang[2]. Many subjects for vanishing C-Bocher curvature tensor with constant scalar curvature were studied in [3], [6], [7], [9], [10], [11] and so on.

• Bulletin of the Korean Mathematical Society
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• v.42 no.4
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• pp.713-724
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• 2005

We prove that a (k, $\mu$)-manifold with vanishing E­Bochner curvature tensor is a Sasakian manifold. Several interesting corollaries of this result are drawn. Non-Sasakian (k, $\mu$)­manifolds with C-Bochner curvature tensor B satisfying B $(\xi,\;X)\;\cdot$ S = 0, where S is the Ricci tensor, are classified. N(K)-contact metric manifolds $M^{2n+1}$, satisfying B $(\xi,\;X)\;\cdot$ R = 0 or B $(\xi,\;X)\;\cdot$ B = 0 are classified and studied.

• Journal of the Korean Mathematical Society
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• v.16 no.1
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• pp.63-69
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• 1979

• Journal of the Korean Mathematical Society
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• v.15 no.1
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• pp.9-23
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• 1978

• Bulletin of the Korean Mathematical Society
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• v.17 no.2
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• pp.93-102
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• 1981

• Kyungpook Mathematical Journal
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• v.17 no.2
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• pp.123-133
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• 1977

• Kyungpook Mathematical Journal
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• v.23 no.1
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• pp.27-42
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• 1983

• Kyungpook Mathematical Journal
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• v.19 no.1
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• pp.23-32
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• 1979

• East Asian mathematical journal
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• v.11 no.2
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• pp.143-152
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• 1995

• Communications of the Korean Mathematical Society
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• v.37 no.3
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• pp.813-824
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• 2022

We study solitons of Kählerian Norden space-time manifolds and Bochner curvature tensor in almost pseudo symmetric Kählerian space-time manifolds. It is shown that the steady, expanding or shrinking solitons depend on different relations of energy density/isotropic pressure, the cosmological constant, and gravitational constant.