Alfa Kenmotsu Pseudo Metrik Manifoldlar Üzerine

Year 2020, Volume: 20 Issue: 6, 975 - 982, 31.12.2020

Sermin Öztürk Hakan Öztürk

https://doi.org/10.35414/akufemubid.803483

Cited By: 3

Abstract

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.

Keywords

Alfa Kenmotsu manifold, psödo metrik, sabit eğrilik, kesit eğriliği

Supporting Institution

Afyon Kocatepe Üniversitesi Bilimsel Araştırma Projeleri Koordinasyon Birimi

Project Number

17.FEN.BİL.11

Thanks

Bu çalışma, Afyon Kocatepe Üniversitesi Bilimsel Araştırma Projeleri Koordinasyon Birimi tarafından 17.FEN.BİL.11 numaralı proje ile desteklenmiştir. Ayrıca, yapıcı yorumları ve katkılarından dolayı saygıdeğer hakemlere teşekkür ederiz.

On Alpha Kenmotsu Pseudo Metric Manifolds

Abstract

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.

Keywords

Alpha Kenmotsu manifold, Pseudo metric, Constant curvature, Sectional curvature

Project Number

17.FEN.BİL.11

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