Öz
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
Kaynakça
- BAGEWADI CS, PRAKASHA DG, BASAVARAJAPPA NS, 2008a. On Lorentzian β-Kenmosu manifolds. International Journal of Mathematical Analysis, 9(2), 919-927.
- BAGEWADI CS, PRAKASHA DG, BASAVARAJAPPA NS, 2008b. Some results on Lorentzian β-Kenmosu manifolds. Annals of the University of Craiova, Mathematics and Computer Science Series, 35, 7-14.
- BHAGAWATH P, 2002. A pseudo-projective curvature tensor on a Riemannian manifolds. Bulletin of the Calcutta Mathematical Society, 94(3), 163-166.
- DE UC, PATHAK G, 2004. On 3-Dimensional Kenmotsu Manifolds. Indian Journal of Pure and Applied Mathematics. 35(2), 159-165.
- MATSUMOTO K, MIHAI I, 1988. On a certain transformation in a Lorentzian para - Sasakian manifold. Tensor, New Series, 47, 189-197.
- MIHAI I, ROSCA R, 1992. On Lorentzian P-Sasakian manifolds. Classical Analysis, World Scientific Publications, 155-169.
- SHAIKH AA, DE UC, 2000. On 3-Dimensional LP-Sasakian Manifolds. Soochow Journal of Mathematics, 26(4), 359-368.
- TAKAHASHI T, 1977. Sasakian φ-symmetric spaces. Tohoku Mathematical Journal, 29 , 91-113.
- VENKATESHA, BAGEWADI CS, 2005. On 3- Dimensional trans-Sasakian Manifolds. Association for the Advancement of Modelling and Simulation Techniques in Enterprises (AMSE), 42(5), 73-83.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 8 Haziran 2009 |
| Yayımlandığı Sayı | Yıl 2009 Cilt: 4 Sayı: 1 |
