Alfa Kenmotsu Pseudo Metrik Manifoldlar Üzerine

Bu makalenin asıl amacı alfa Kenmotsu pseudo metrik manifoldlar üzerinde bazı eğrilik özellikleriniincelemektir. Özellikle bu tür manifoldlar üzerinde lokal simetri, global ?-simetri ve lokal ?-simetri gibitensör koşulları bazı ek şartlar altında göz önüne alınmıştır. Ayrıca, ?-Einstein ve Einstein manifoldlariçin gerek ve yeter koşullar çalışılmıştır. Bundan başka, ?-kesit ve ?-kesit eğrilikleri ile ilgili bazı sonuçlaralfa Kenmotsu pseudo metrik manifoldlar üzerinde verilmiştir. Son olarak, makale alfa Kenmotsupseudo metrik manifoldlar için açıklayıcı bir örnekle sonlandırılmıştır

On Alpha Kenmotsu Pseudo 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 ?-symmetry and locally ?-symmetry under some additional conditions on such manifolds are considered. Also, the necessary and sufficient conditions for ?-Einstein and Einstein manifolds are studied. Furthermore, some results are related to ?-sectional and ?-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.

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