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Journals / Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi / 2019 / Cilt: 19 - Sayı: 3

Conformal Ricci Solitons in Kenmotsu Manifolds

Kenmotsu Manifoldlarda Konformal Ricci Solitonlar

Gülhan AYAR
Pages
635–642
Publication Date
2022-10-12
DOI
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AI Summary & Key Takeaways

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

Then, the definitions of Ricci-recurrent, ϕ - recurrent, psedo-projektif ϕ -recurrent, concircularϕ-recurrent Kenmotsu manifolds are given and the conditions that determine the conformal Ricci solitons in such manifolds are expanding, steady or shrinking are examined.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we examine the conditions that characterize conformal Ricci solitons in Kenmotsu manifolds.
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Key Findings & Data:Firstly, almost contact structure of a 𝐶 ∞ class (2𝑛 + 1)-dimensional differentiable 𝑀2𝑛+1 and the structure of a Kenmotsu manifold are introduced.
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Conclusion & Impact:Then, the definitions of Ricci-recurrent, ϕ - recurrent, psedo-projektif ϕ -recurrent, concircularϕ-recurrent Kenmotsu manifolds are given and the conditions that determine the conformal Ricci solitons in such manifolds are expanding, steady or shrinking are examined.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

In this paper, we examine the conditions that characterize conformal Ricci solitons in Kenmotsu manifolds. Firstly, almost contact structure of a 𝐶 ∞ class (2𝑛 + 1)-dimensional differentiable 𝑀2𝑛+1 and the structure of a Kenmotsu manifold are introduced. Then, the definitions of Ricci-recurrent, ϕ - recurrent, psedo-projektif ϕ -recurrent, concircularϕ-recurrent Kenmotsu manifolds are given and the conditions that determine the conformal Ricci solitons in such manifolds are expanding, steady or shrinking are examined.

Özet

Bu makalede, Kenmotsu manifoldlarında konformal Ricci solitonlarını karakterize eden koşullarincelenmiştir. Öncelikle (2𝑛 + 1)-boyutlu 𝐶∞sınıfından diferensiyellenebilir bir 𝑀2𝑛+1 manifoldununhemen hemen değme yapısı ve Kenmotsu manifoldların yapısı tanıtılmıştır. Daha sonra, Ricci-recurrent,ϕ-recurrent, psedo-projektif ϕ-recurrent, concircular ϕ-recurrent Kenmotsu manifoldlarının tanımlarıverilmiştir ve bu tip manifoldlarda konformal Ricci solitonlarının hangi durumlarda daralan, genişleyenveya sabit olduğu şartlar araştırılmıştır.

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Cite This Article

AYAR, G. (2022). Conformal Ricci Solitons in Kenmotsu Manifolds. Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi, Cilt: 19 - Sayı: 3, 635–642. https://ajindex.com/articles/429891

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References (10)

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