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Generalization of Kim's estimates in terms of the trace of divergence-free symmetric tensor

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In this paper, we generalized E.C. Kim\"s estimates by taking into account the trace of the divergence-free symmetric nonzero tensor. We have also shown that E.C. Kim\"s estimates still valid in the case of the trace of the divergence-free symmetric tensor vanished identically. In the equality case, we characterized eta–Killing spinor with Killing pair over Sasakian spin manifolds.

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Eker S., "Generalization of Kim's estimates in terms of the trace of divergence-free symmetric tensor", Mathematical Methods in the Applied Sciences, cilt.45, sa.9, ss.5471-5482, 2022

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