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CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION
Abstract
We study CR-submanifolds of a Lorentzian para-Sasakian manifold endowed with a semi-symmetric metric connection. Moreover, we obtain integrability conditions of the distributions on CR-submanifolds.
Keywords
References
- Bejancu, A. CR-submanifolds of a Kaehler manifold I, Proc. Am. Math. Soc. 69, 135–142, 1978. [2] Bejancu, A. Geometry of CR-submanifolds (D. Reidel Pub. Co., 1986).
- De, U. C. and Sengupta, A. K. CR-submanifolds of a Lorentzian para-Sasakian manifold, Bull. Malaysian Math. Sci. Soc. 23, 99–106, 2000.
- Friedmann, A., Schouten, J. A., Uber die Geometric der halbsymmetrischen Ubertragung, Math. Z. 21, 211–223, 1924.
- Kobayashi, M. CR-submanifolds of Sasakian manifold, Tensor (N.S.) 35, 297–307, 1981.
- Matsumoto, K. On a Lorentzian para-contact manifolds, Bull. of Yamagata Univ. Nat. Sci. 12, 151–156, 1989.
- Matsumoto, K. and Mihai, I. On a certain transformation in a Lorentzian para-Sasakian manifold, Tensor (N.S.) 47, 189–197, 1988.
- Mihai, I. and Rosca, R. On Lorentzian P -Sasakian manifolds, Classical Analysis, World Scientific Publ., Singapore, 155–169, 1992.
- Sat¯o, I. On a structure similar to the almost contact structure, Tensor (N.S.) 30 (3), 219– 224, 1976.
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
April 1, 2010
Submission Date
May 12, 2014
Acceptance Date
-
Published in Issue
Year 2010 Volume: 39 Number: 4
APA
Özgür, C., Ahmad, M., & Haseeb, abdul. (2010). CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION. Hacettepe Journal of Mathematics and Statistics, 39(4), 489-496. https://izlik.org/JA95HX62WY
AMA
1.Özgür C, Ahmad M, Haseeb abdul. CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION. Hacettepe Journal of Mathematics and Statistics. 2010;39(4):489-496. https://izlik.org/JA95HX62WY
Chicago
Özgür, Cihan, Mobin Ahmad, and abdul Haseeb. 2010. “CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION”. Hacettepe Journal of Mathematics and Statistics 39 (4): 489-96. https://izlik.org/JA95HX62WY.
EndNote
Özgür C, Ahmad M, Haseeb abdul (April 1, 2010) CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION. Hacettepe Journal of Mathematics and Statistics 39 4 489–496.
IEEE
[1]C. Özgür, M. Ahmad, and abdulHaseeb, “CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION”, Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, pp. 489–496, Apr. 2010, [Online]. Available: https://izlik.org/JA95HX62WY
ISNAD
Özgür, Cihan - Ahmad, Mobin - Haseeb, abdul. “CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION”. Hacettepe Journal of Mathematics and Statistics 39/4 (April 1, 2010): 489-496. https://izlik.org/JA95HX62WY.
JAMA
1.Özgür C, Ahmad M, Haseeb abdul. CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION. Hacettepe Journal of Mathematics and Statistics. 2010;39:489–496.
MLA
Özgür, Cihan, et al. “CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION”. Hacettepe Journal of Mathematics and Statistics, vol. 39, no. 4, Apr. 2010, pp. 489-96, https://izlik.org/JA95HX62WY.
Vancouver
1.Cihan Özgür, Mobin Ahmad, abdul Haseeb. CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION. Hacettepe Journal of Mathematics and Statistics [Internet]. 2010 Apr. 1;39(4):489-96. Available from: https://izlik.org/JA95HX62WY