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Bu makalenin asıl amacı alfa Kenmotsu psödo metrik manifoldlar üzerinde bazı eğrilik özelliklerini incelemektir. Özellikle bu tür manifoldlar üzerinde lokal simetri, global ϕ-simetri ve lokal ϕ-simetri gibi tensör koşulları bazı ek şartlar altında göz önüne alınmıştır. Ayrıca, η-Einstein ve Einstein manifoldlar için gerek ve yeter koşullar çalışılmıştır. Bundan başka, ξ-kesit ve ϕ-kesit eğrilikleri ile ilgili bazı sonuçlar alfa Kenmotsu psödo metrik manifoldlar üzerinde verilmiştir. Son olarak, makale alfa Kenmotsu psödo metrik manifoldlar için açıklayıcı bir örnekle sonlandırılmıştır.
The main purpose of this article is to study some curvature characteristics on alpha Kenmotsu psedo metric manifolds. Tensor conditions such as local symmetry, global φ-symmetry and local φ-symmetry have been taken into account under some additional conditions. In addition, the necessary and sufficient conditions for η-Einstein and Einstein manifolds have been studied. In addition, some results related to ξ-cutting and φ-cutting curvations have been given on alpha Kenmotsu psödo metric manifolds. Finally, the article is concluded with an explanatory example for alpha Kenmotsu psedo metric manifolds.
The aim of this paper is to investigate some curvature properties on alpha Kenmotsu pseudo metric manifolds. In particular, the tensor conditions such as locally symmetry, globally ϕ-symmetry and locally ϕ-symmetry under some additional conditions on such manifolds are considered. Also, the necessary and sufficient conditions for η-Einstein and Einstein manifolds are studied. Furthermore, some results are related to ξ-sectional and ϕ-sectional curvatures on alpha Kenmotsu pseudo metric manifolds are given. Finally, the paper is concluded with an illustrative example for alpha Kenmotsu pseudo metric manifolds.
Alan : Fen Bilimleri ve Matematik; Mühendislik
Dergi Türü : Ulusal
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