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Dergiler / Konuralp Journal of Mathematics / 2019 / Cilt: 7 - Sayı: 2

A Note on Two Classes of $\xi$-Conformally Flat Almost Kenmotsu Manifolds

Dibakar Dey
Sayfa
388–394
Yayın Tarihi
2019-10-15
DOI
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Finally, we give an example to verify our result.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The object of the present paper is to characterize $\xi$-conformally flat $(k,\mu)$-almost Kenmotsu manifolds and $(k,\mu)'$-almost Kenmotsu manifolds.
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Temel Bulgular & Veri:Further it is shown that a $(2n+1)$-dimensional $(k,\mu)'$-almost Kenmotsu manifold is $\xi$-conformally flat if and only if it is conformally flat.
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Sonuç & Katkı:Finally, we give an example to verify our result.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Almost Kenmotsu manifold · Einstein manifold · Riemannian curvature tensor

Abstract

The object of the present paper is to characterize $\xi$-conformally flat $(k,\mu)$-almost Kenmotsu manifolds and $(k,\mu)'$-almost Kenmotsu manifolds. It is proved that a $(k,\mu)$-almost Kenmotsu manifold is $\xi$-conformally flat if and only if the manifold is an Einstein manifold. Further it is shown that a $(2n+1)$-dimensional $(k,\mu)'$-almost Kenmotsu manifold is $\xi$-conformally flat if and only if it is conformally flat. As a consequence of the main results we obtain several corollaries. Finally, we give an example to verify our result.

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Bu Makaleye Atıf Yap

Dey, D. (2019). A Note on Two Classes of $\xi$-Conformally Flat Almost Kenmotsu Manifolds. Konuralp Journal of Mathematics, Cilt: 7 - Sayı: 2, 388–394. https://ajindex.com/articles/786499

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