ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS

G.T. Sreenıvasa; VENKATESHA Venkatesha; C.S. Bagewadı; K. Naganagoud

doi:10.29233/sdufeffd.134667

ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS

Abstract

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

Keywords

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

References

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.

Details

Primary Language

English

Subjects

-

Journal Section

-

Authors

G.T. Sreenıvasa This is me

VENKATESHA Venkatesha This is me

C.S. Bagewadı This is me

K. Naganagoud This is me

Publication Date

June 8, 2009

Submission Date

June 8, 2009

Acceptance Date

-

Published in Issue

Year 2009 Volume: 4 Number: 1

DOI

https://doi.org/10.29233/sdufeffd.134667

IZ

https://izlik.org/JA67NF72DA

Cite

RIS / Bibtex

APA

Sreenıvasa, G., Venkatesha, V., Bagewadı, C., & Naganagoud, K. (2009). ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS. Süleyman Demirel University Faculty of Arts and Science Journal of Science, 4(1), 75-79. https://doi.org/10.29233/sdufeffd.134667

AMA

1.Sreenıvasa G, Venkatesha V, Bagewadı C, Naganagoud K. ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2009;4(1):75-79. doi:10.29233/sdufeffd.134667

Chicago

Sreenıvasa, G.T., VENKATESHA Venkatesha, C.S. Bagewadı, and K. Naganagoud. 2009. “ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 4 (1): 75-79. https://doi.org/10.29233/sdufeffd.134667.

EndNote

Sreenıvasa G, Venkatesha V, Bagewadı C, Naganagoud K (June 1, 2009) ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS. Süleyman Demirel University Faculty of Arts and Science Journal of Science 4 1 75–79.

IEEE

[1]G. Sreenıvasa, V. Venkatesha, C. Bagewadı, and K. Naganagoud, “ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS”, Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 4, no. 1, pp. 75–79, June 2009, doi: 10.29233/sdufeffd.134667.

ISNAD

Sreenıvasa, G.T. - Venkatesha, VENKATESHA - Bagewadı, C.S. - Naganagoud, K. “ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS”. Süleyman Demirel University Faculty of Arts and Science Journal of Science 4/1 (June 1, 2009): 75-79. https://doi.org/10.29233/sdufeffd.134667.

JAMA

1.Sreenıvasa G, Venkatesha V, Bagewadı C, Naganagoud K. ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2009;4:75–79.

MLA

Sreenıvasa, G.T., et al. “ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS”. Süleyman Demirel University Faculty of Arts and Science Journal of Science, vol. 4, no. 1, June 2009, pp. 75-79, doi:10.29233/sdufeffd.134667.

Vancouver

1.G.T. Sreenıvasa, VENKATESHA Venkatesha, C.S. Bagewadı, K. Naganagoud. ON-RECURRENT LORENTZIAN -KENMOTSU MANIFOLDS. Süleyman Demirel University Faculty of Arts and Science Journal of Science. 2009 Jun. 1;4(1):75-9. doi:10.29233/sdufeffd.134667