GENERALIZED -RECURRENT LORENTZIAN -SASAKIAN MANIFOLD

Year 2010, Volume: 59 Issue: 1, 53 - 64, 01.02.2010

D.g. Prakasha A. Yıldız

https://doi.org/10.1501/Commua1_0000000656

Cited By: 4

Abstract

The purpose of this paper is to study generalizedLorentzian-recurrent-Sasakian manifolds

Keywords

Generalized-recurrent Lorentzian-Sasakian manifold, Einsteinmanifold, constant curvature

References

• Blair D. E. and Oubina J. A., Conformal and related changes of metric on the product of two almost contact metric manifolds, Publications Matematiques, 34(1990), 199-207.
• Blair D. E., Riemannian geometry contact and symplectic manifolds, Progress in Mathemat- ics in Mathematics, 203(2002). Birkhauser Boston, Inc., Boston.
• Chinea D. and Gonzales C., Curvature relations in trans-Sasakian manifolds, Proceedings of the XIIth Portuguese-Spanish Conference on Mathematics, Vol. II(Portuguese) (Braga, ), 564-571, Univ. Minho, Braga, 1987.
• De U. C., Shaikh A. A. and Biswas S., On recurrent Sasakian manifolds, Novi Sad J. Math., V.33(2)(2003), 43-48.
• De U. C. and Guha N., On generalized recurrent manifolds, Proceedings of Math. Soc., (1991), 7-11.
• Dragomir S. and Ornea L., Locally conformal Kaehler geometry, Progress in Mathematics , Birkhauser Boston, Inc., Boston, MA, 1998.
• Gray A. and Hervella L. M., The sixteen classes of almost Hermitian manifolds and their linear invariants, Ann. Mat. Pura Appl., 123(4)(1980), 35-58.
• Ianus S. and Smaranda D., Some remarkable structures on the product of an almost contact metric manifold with the real line, Papers from the National Coll. on Geometry and Topolgy, Univ. Timisoara (1977), 107-110.
• Janssens D. and Vanhacke L., Almost contact structures and curvature tensors, Kodai Math. J., 4(1981), 1-27.
• Jun J-B., Yıldız A. and De U. C., On recurrent (k, )-contact metric manifolds, Bull. Korean Math. Soc. 45(2008), No.4, 689-700.
• Kon M., Invarience submanifolds in Sasakian manifolds, Math. Ann. 219(1976),227-290.
• Marrero J. C. and Chinea D., On trans-Sasakian manifolds, Proceedings of the XIVth Spanish-Portuguese Conference on Mathematics, Vol. I-III (Spanish) (Puerto de la Cruz, ), 655-659, Univ. La Laguna, La Laguna, 1990.
• Marrero J. C., The local structure of trans-Sasakian manifolds, Ann. Mat. Pura Appl., (4)(1992), 77-86. J.
• Oubina A., New classes of contact metric structures, Publ. Math. Debrecen, 32(3-4)(1985), 193.
• Patil D. A., Prakasha D. G. and Bagewadi C. S., On ifolds, Bull. Math. Anal.&Appl.,1(3)(2009), 40-46. generalized recurrent Sasakian man
• Prakasha D. G., Bagewadi C. S. and Basavarajappa N. S., On Pseudosymmetric Lorentzian Sasakian manifolds, Int. J. Pure Appl. Math., 48(1)(2008), 57-65.
• Shaikh A.A. and De U. C., On 3-dimensional Lorentzian Para-Sasakian Manifolds, Soochow J. Math. 26(2000), 4, 359-368.
• Takahashi T, Sasakian symmetric spaces, Tohoku Math. J., 29(1977), 91-113.
• Tanno S., The automorphism groups of almost contact Riemannian manifolds, Tohoku Math. J., 21(1969), 21-38.
• Tanno S., Isometric immersions of Sasakian manifolds, Kodai Math. Sem. Rep., 21(1969), 458.
• Yıldız A. and Murathan C., On Lorentzian Sasakian manifolds, Kyungpook Math. J., 45 (2005), 95-103.
• Yıldız A., Turan M. and Murathan C., A class of Lorentzian Sasakian manifolds, Kyung- pook Math. J., 49 (2009), 789-799.
• Current address : Department of Mathematics, Faculty of Science and Technology,, Karnatak University, Dharwad - 580 003, INDIA.,2Department of Mathematics, Art and Science Faculty,, Dumlupinar University, Kutahya, TURKEY. E-mail address : [e-mail], [e-mail] URL: http://math.science.ankara.edu.tr