adyu j sci Adıyaman University Journal of Science 2147-1630 2146-586X Adıyaman University Kenmotsu Manifolds with generalized Tanaka-Webster Connection Genelleştirilmiş Tanaka-Webster Konneksiyonlu Kenmotsu Manifoldlar Perktaş Selcen Yüksel Acet Bilal Eftal Kılıç Erol 12 30 2013 3 2 79 93 11 28 2014 Copyright © 2011, Adıyaman University Journal of Science 2011 Adıyaman University Journal of Science

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.

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.

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