Kenmotsu Manifolds with generalized Tanaka-Webster Connection

Abstract

The object of the present paper is to study generalized Tanaka-Webster connection on a Kenmotsu manifold. Some conditions for phi-conformally flat, phi-conharmonically flat, phi-concircularly flat, phi-projectively flat, phi-W2 flat and phi-pseudo projectively flat Kenmotsu manifolds with respect to generalized Tanaka-Webster connection are obtained.

Keywords

• Kenmotsu Manifold, Einstein Manifold, Curvature Tensor, Tanaka-Webster Connection.

Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar

Abstract

Bu çalışmada bir Kenmotsu manifold üzerinde genelleştirilmiş Tanaka-Webster konneksiyonu çalışıldı. Genelleştirilmiş Tanaka-Webster konneksiyonuna sahip phi-conformally flat, phi-conharmonically flat, phi-concircularly flat, phi-projectively flat, phi-W2 flat ve phi-pseudo projectively flat Kenmotsu manifoldlar için bazı şartlar elde edildi.

Keywords

• Kenmotsu Manifold, Einstein Manifold, Eğrilik Tensörü, Tanaka-Webster Konneksiyon

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