Some Applications of the Concircular Mappings on the Weyl Manifolds

Öz

In this paper, two applications of concircular mappings on the Weyl manifolds are given: Firstly, a necessary and sufficient condition for an Einstein-Weyl manifold to be concircularly Ricci-flat is obtained. Secondly, after defining a special type of semi-symmetric non-metric connection which is called S -concircular, some properties of the Weyl manifold with a vanishing curvature tensor with respect to such a connection are examined.

Weyl Manifoldları Üzerindeki Concircular Tasvirlerin Bazı Uygulamaları

Öz

Bu çalışmada, Weyl manifoldları üzerindeki concircular tasvirlerin iki uygulaması verilmiştir: İlk olarak, Einstein-Weyl manifoldunun concircular Ricci düz olabilmesi için bir gerek-yeter şart elde edilmiştir. Daha sonra da, S -concircular olarak adlandırılan özel tipteki bir yarı simetrik non-metrik konneksiyon tanımlanarak, böyle bir konneksiyona göre sıfırlanan eğrilik tensörüne sahip Weyl manifoldunun bazı özellikleri incelenmiştir

Anahtar Kelimeler

• Weyl manifoldu,yarı simetrik non-metrik S -concircular konneksiyon,sıfırlanan eğrilik tensörü

Kaynakça

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