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Journals / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2021 / Cilt: 70 Sayı: 1

A classification of $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensor

Dibakar DEY
Pradip MAJHİ
Pages
52–63
Publication Date
2021-06-30
DOI
—
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

Further, Cotton pseudo-symmetric $(k,\mu)'$-almost Kenmotsu manifolds are classified.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The object of the present paper is to classify $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensors.
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Key Findings & Data:Beside this, $(k,\mu)'$-almost Kenmotsu manifolds satisfying Cotton semisymmetry and $Q(g,C) = 0$ are studied.
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Conclusion & Impact:Further, Cotton pseudo-symmetric $(k,\mu)'$-almost Kenmotsu manifolds are classified.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Almost Kenmotsu manifolds · $\xi$-Cotton flat · Cotton flat

Abstract

The object of the present paper is to classify $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensors. We characterize $(k,\mu)'$-almost Kenmotsu manifolds with vanishing and parallel Cotton tensors. Beside this, $(k,\mu)'$-almost Kenmotsu manifolds satisfying Cotton semisymmetry and $Q(g,C) = 0$ are studied. Further, Cotton pseudo-symmetric $(k,\mu)'$-almost Kenmotsu manifolds are classified.

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Cite This Article

DEY, D., MAJHİ, P. (2021). A classification of $(k,\mu)'$-almost Kenmotsu manifolds admitting Cotton tensor. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Cilt: 70 Sayı: 1, 52–63. https://ajindex.com/articles/903596

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