On Bochner Ricci semi-symmetric Hermitian manifold

Article Sidebar

PDF
Published Feb 1, 2018

Main Article Content

Brijesh Kumar Gupta
Department of Pure and Applied Mathematics Guru Ghasidas Vishwavidyalaya Bilaspur Chhattisgarh India
Braj Bhushan Chaturvedi
Assistant Professor Department of Pure and Applied Mathematics Guru Ghasidas Vishwavidyalaya Bilaspur Chhattisgarh India

Abstract

The aim of the present paper is to study Bochner Ricci semi-symmetric quasi-Einstein Hermitian manifold (QEH)n, Bochner Ricci semi-symmetric generalised quasi-Einstein Hermitain manifold G(QEH)n and Bochner Ricci semisymmetric pseudo generalised quasi-Einstein Hermitian manifold P(GQEH)n.

Article Details

How to Cite
Gupta, B., & Chaturvedi, B. (2018). On Bochner Ricci semi-symmetric Hermitian manifold. Acta Mathematica Universitatis Comenianae, 87(1), 25-34. Retrieved from http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/amuc/article/view/576/459
APA BibTeX CBE EndNote - EndNote format (Macintosh & Windows)
Issue
Vol 87 No 1 (2018): AMUC
Section
Articles

References

1. Shaikh A. A., Kim Y. H. and Hui S. K. ,On Lorentzian quasi Einstein manifolds. J. Korean Math. Soc., 48(2011), 669–689.

2. Shaikh A. A., On pseudo quasi Einstein manifold, Period. Math. Hungar., 59(2009),119–146.

3. Taleshian A. and Hosseinzadeh A. A.,Investigation of some conditions on N(k)-quasi Einstein manifolds, Bull. Malays. Math. Sci. Soc., 34(2011), 455–464.

4. Walker A. G., On Ruse0s spaces of recurrent curvature, Proc. London Math. Soc. 52(1950), 36–64.

5. Hosseinzadeh A. and Taleshian A., On conformal and quasi-conformal curvature tensors of an N(k)-quasi-Einstein manifold, Commun. Korean Math. Soc., 27(2012), 317–326.

6. ¨Ozg¨ ur C., N(k)-quasi Einstein manifolds satisfying certain conditions, Chaos, Solutions and Fractals, 38 (2008), 1373–1377.

7. ¨Ozg¨ ur C., On some classes of super quasi-Einstein manifolds, Chaos, Solitons and Fractals, 40(2009), 1156–1161.

8. ¨Ozg¨ ur C. and Sular S. , On N(k)-quasi-Einstein manifolds satisfying certain conditions, Balkan J. Geom. Appl., 13(2008), 74–79.

9. Prakasha D. G. and Venkatesha H., Some results on generalised quasi-Einstein manifolds, Chinese Journal of Mathematics (Hindawi Publishing Corporation), 2014.

10. Defever F., Ricci-semisymmetric hypersurfaces, Balkan Journal of Geometry and its appl. 5(2000), 81–91.

11. Nagaraja H. G., On N(k)-mixed quasi-Einstein manifolds, Eur. J. Pure Appl. Math., 3(2010), 16–25.

12. Chaki M. C. and Maity R. K., On quasi-Einstein manifolds, Publ. Math. Debrecen, 57(2000), 297–306.

13. Chaki M. C., On generalized quasi-Einstein manifolds, Publ. Math. Debrecen, 58(2001), 683–691.

14. Tripathi M. M. and Kim J.S, On N(k)-quasi-Einstein manifolds, Commun. Korean Math. Soc., 22(3)2007, 411–417.

15. Debnath P. and Konar A., On quasi-Einstein manifolds and quasi-Einstein spacetimes, Differ. Geom. Dyn. Syst.,12(2010), 73–82.

16. Guha S., On quasi-Einstein and generalized quasi-Einstein manifolds, Facta Universitatis series Mechanics, Automatic Control and Robotics, 3(2003), 821–842.

17. Hui S. K. and Lemence R. S., On Generalized Quasi Einstein Manifold Admitting W2Curvature Tensor, Int. Journal of Math. Analysis, Vol. 6, 2012, no. 23, 1115 – 1121.

18. Bochner S., Curvature and Betti numbers II, Ann. of Math., 50(1949), 77-93.

19. Adati T. and Miyazawa T., On a Riemannian space with recurrent conformal curvature, Tensor N. S. 18(1967), 348–354.

20. De U.C. and Ghosh G.C., On generalized quasi-Einstein manifolds, Kyungpook Math.J., 44(2004), 607–615.

21. De U. C. and Gazi A. K., On nearly quasi-Einstein manifolds, Novi Sad Journal of Mathematics 38 (2008), 115–121.

22. De U. C. and Ghose G. C. , On quasi-Einstein and special quasi-Einstein manifolds, Proc.of the Conf. of Mathematics and its applications. Kuwait University, April 5-7 (2004), 178–191.

23. Szabo Z. I., Structure theorems on Riemannian spaces satisfying R(X,Y).R=0., the local version. J. Diff. Geom. 17(1982), 531–582.