• 제목/요약/키워드: contact Bochner curvature tensor.

검색결과 3건 처리시간 0.017초

ON C-BOCHNER CURVATURE TENSOR OF A CONTACT METRIC MANIFOLD

  • KIM, JEONG-SIK;TRIPATHI MUKUT MANI;CHOI, JAE-DONG
    • 대한수학회보
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    • 제42권4호
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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.