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Classification of $(k,\mu)$-almost co-K\"{a}hler manifolds with vanishing Bach tensor and divergence free Cotton tensor

Uday Chand De|Arpan Sardar
대한수학회 (The Korean Mathematical Society)|2020.10|대한수학회논문집 (Communications of the KMS)|제35권 제4호|pp. 1245-1254|DOI 10.4134/CKMS.c200091

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참고문헌

키워드

$(k\mu)$-almost co-K\"{a}hler manifoldBach tensorBach flat tensordivergence free Cotton tensor
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초록

The object of the present paper is to characterize Bach flat $(k,\mu)$-almost co-K\"{a}hler manifolds. It is proved that a Bach flat $(k,\mu)$-almost co-K\"{a}hler manifold is $K$-almost co-K\"{a}hler manifold under certain restriction on $\mu$ and $k$. We also characterize $(k,\mu)$-almost co-K\"{a}hler manifolds with divergence free Cotton tensor.

Abstract

The object of the present paper is to characterize Bach flat $(k,\mu)$-almost co-K\"{a}hler manifolds. It is proved that a Bach flat $(k,\mu)$-almost co-K\"{a}hler manifold is $K$-almost co-K\"{a}hler manifold under certain restriction on $\mu$ and $k$. We also characterize $(k,\mu)$-almost co-K\"{a}hler manifolds with divergence free Cotton tensor.

참고문헌 (35)

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