Research Article

CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION

Volume: 39 Number: 4 April 1, 2010
  • Cihan Özgür
  • Mobin Ahmad
  •  abdul Haseeb
EN TR

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

  1. 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).
  2. De, U. C. and Sengupta, A. K. CR-submanifolds of a Lorentzian para-Sasakian manifold, Bull. Malaysian Math. Sci. Soc. 23, 99–106, 2000.
  3. Friedmann, A., Schouten, J. A., Uber die Geometric der halbsymmetrischen Ubertragung, Math. Z. 21, 211–223, 1924.
  4. Kobayashi, M. CR-submanifolds of Sasakian manifold, Tensor (N.S.) 35, 297–307, 1981.
  5. Matsumoto, K. On a Lorentzian para-contact manifolds, Bull. of Yamagata Univ. Nat. Sci. 12, 151–156, 1989.
  6. Matsumoto, K. and Mihai, I. On a certain transformation in a Lorentzian para-Sasakian manifold, Tensor (N.S.) 47, 189–197, 1988.
  7. Mihai, I. and Rosca, R. On Lorentzian P -Sasakian manifolds, Classical Analysis, World Scientific Publ., Singapore, 155–169, 1992.
  8. 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

Authors

Cihan Özgür This is me

Mobin Ahmad This is me

 abdul Haseeb This is me

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