Kenmotsu Manifoldlarda Konformal Ricci Solitonlar

Bu makalede, Kenmotsu manifoldlarında konformal Ricci solitonlarını karakterize eden koşullarincelenmiştir. Öncelikle (2? + 1)-boyutlu ?∞sınıfından diferensiyellenebilir bir ?2?+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.

Conformal Ricci Solitons in Kenmotsu Manifolds

In this paper, we examine the conditions that characterize conformal Ricci solitons in Kenmotsu manifolds. Firstly, almost contact structure of a ? ∞ class (2? + 1)-dimensional differentiable ?2?+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.

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