ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS

Abstract: In this paper, we study Lorentzian -Kenmotsu manifold and we shown that -recurrent Lorentzian -Kenmotsu manifold is an Einstein manifold and a pseudo-projective -recurrent Lorentzian -Kenmotsu manifold is an - Einstein manifold. And also we get the expression for 1-form A in a -recurrent Lorentzian -Kenmotsu manifold. Key words: -Kenmotsu manifold, locally pseudo-projective -symmetric manifold, -recurrent Lorentzian -Kenmotsu manifold, Einstein manifold, -Einstein manifold -TEKRARLI (RECURRENT) LORENTZ -KENMOTSU MANİFOLDLARI ÜZERİNE Özet: Bu çalışmada Lorentz -Kenmotsu manifoldları çalışıldı. -tekrarlı (recurrent) Lorentz -Kenmotsu manifoldunun bir Einstein manifoldu olduğu, bir yarı projektif -tekrarlı Lorentz -Kenmotsu manifoldunun da bir - Einstein manifoldu olduğu gösterildi. Aynı zamanda bir -tekrarlı Lorentz -Kenmotsu manifoldunda A 1-formunun ifadesi elde edildi. Anahtar kelimeler: -Kenmotsu manifoldu, local yarı projektif -simetrik manifoldu, -tekrarlı Lorentz -Kenmotsu manifoldu, Einstein manifoldu, -Einstein manifoldu

Anahtar Kelimeler:

β-Kenmotsu manifoldu, local yarı projektif φ -simetrik manifoldu, φ-tekrarlı Lorentz β-Kenmotsu manifoldu, Einstein manifoldu, η-Einstein manifoldu

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