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arXiv · 1302.2139

On locally phi-semisymmetric Sasakian manifolds

Absos Ali Shaikh·Chandan Kumar Mondal·Helaluddin Ahmad
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Abstract

Generalizing the notion of local $\phi$-symmetry of Takahashi, in the present paper, we introduce the notion of local $\phi$-semisymmetry of a Sasakian manifold along with its proper existence and characterization. We also study the notion of local Ricci (resp., projective, conformal) $\phi$-semisymmetry of a Sasakian manifold and obtain its characterization. It is shown that the local $\phi$-semisymmetry, local projective $\phi$-semisymmetry and local concircular $\phi$-semisymmetry are equivalent. It is also shown that local conformal $\phi$-semisymmetry and local conharmonical $\phi$-semisymmetry are equivalent.

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Absos Ali Shaikh, Chandan Kumar Mondal, Helaluddin Ahmad. 2013-02-08. On locally phi-semisymmetric Sasakian manifolds. https://arxiv.org/abs/1302.2139

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