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

Year 2010, Volume: 39 Issue: 4, 489 - 496, 01.04.2010

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.

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.
  • Sat¯o, I. On a structure similar to almost contact structures II, Tensor (N.S.) 31 (2), 199–205, 1977. [11] Schouten, J A., Ricci calculus (Springer, 1954).
  • Yano, K. On semi-symmetric metric connection, Rev. Roumaine Math. Pures Appl. 15, 1579–1586, 1970.

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

Year 2010, Volume: 39 Issue: 4, 489 - 496, 01.04.2010

Abstract

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.
  • Sat¯o, I. On a structure similar to almost contact structures II, Tensor (N.S.) 31 (2), 199–205, 1977. [11] Schouten, J A., Ricci calculus (Springer, 1954).
  • Yano, K. On semi-symmetric metric connection, Rev. Roumaine Math. Pures Appl. 15, 1579–1586, 1970.
There are 10 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Mathematics
Authors

Cihan Özgür This is me

Mobin Ahmad This is me

 abdul Haseeb This is me

Publication Date April 1, 2010
Published in Issue Year 2010 Volume: 39 Issue: 4

Cite

APA Özgür, C., Ahmad, M., & Haseeb, . (2010). CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION. Hacettepe Journal of Mathematics and Statistics, 39(4), 489-496.
AMA Özgür C, Ahmad M, Haseeb . CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION. Hacettepe Journal of Mathematics and Statistics. April 2010;39(4):489-496.
Chicago Özgür, Cihan, Mobin Ahmad, and  abdul Haseeb. “CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION”. Hacettepe Journal of Mathematics and Statistics 39, no. 4 (April 2010): 489-96.
EndNote Özgür C, Ahmad M, Haseeb  (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 C. Özgür, M. Ahmad, and  . Haseeb, “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, 2010.
ISNAD Özgür, Cihan et al. “CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION”. Hacettepe Journal of Mathematics and Statistics 39/4 (April 2010), 489-496.
JAMA Özgür C, Ahmad M, Haseeb . 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, 2010, pp. 489-96.
Vancouver Özgür C, Ahmad M, Haseeb . CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION. Hacettepe Journal of Mathematics and Statistics. 2010;39(4):489-96.