Kontakt Metrik Çiftler Üzerinde Genelleştirilmiş Quasi-Conformal Eğrilik Tensörü

Bu çalışmanın amacı, normal metrik kontakt çift (NMCP) manifoldlarını genelleştirilmiş quasi-conformal eğrilik(GQC) tensörünün sıfırlık koşulları altında incelemektir. Bu kapsamda GQC-düz ve GQC-Z-düz NMCP manifoldları ileilgilenilmiştir. Bir GQC-düz manifoldun genelleştirilmiş yarı-Einstein (GQE) manifold olduğu ve bu çeşit manifoldlarıngenelleştirilmiş yarı-sabit eğriliğe sahip olduğu ispatlanmıştır. Son olarak, GQC eğrilik tensörünün düzlük şartları altında,NMCP manifoldlarının kesitsel eğrilikleri ele alınmıştır.

Anahtar Kelimeler:

Kontakt metrik çift, , eğrilik özellikleri, , genelleştirilmiş quasi-conformal eğrilik tensörü

Generalized Quasi-Conformal Curvature Tensor On Normal Metric Contact Pairs

The aim of this paper is to examine normal metric contact pair (NMCP) manifolds under the flatness conditions ongeneralized quasi-conformal (GQC) curvature tensor. It is interested to classify GQC-flat and GQC-Z-flat NMCPmanifolds. We prove that a GQC-flat NMCP manifold is a generalized quasi-Einstein (GQE) manifold and also, suchmanifolds are the space of generalized quasi-constant curvature. Finally, we consider the sectional curvature of NMCPmanifolds under the flatness conditions of GQC curvature tensor.

Keywords:

Contact metric pair, generalized quasi-conformal curvature tensor, curvature properties,

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