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

Yıl 2010, Cilt: 39 Sayı: 4, 489 - 496, 01.04.2010

Öz

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.

Kaynakça

  • 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

Yıl 2010, Cilt: 39 Sayı: 4, 489 - 496, 01.04.2010

Öz

Kaynakça

  • 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.
Toplam 10 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

Cihan Özgür Bu kişi benim

Mobin Ahmad Bu kişi benim

 abdul Haseeb Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 39 Sayı: 4

Kaynak Göster

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. Nisan 2010;39(4):489-496.
Chicago Özgür, Cihan, Mobin Ahmad, ve  abdul Haseeb. “CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION”. Hacettepe Journal of Mathematics and Statistics 39, sy. 4 (Nisan 2010): 489-96.
EndNote Özgür C, Ahmad M, Haseeb  (01 Nisan 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, ve  . Haseeb, “CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION”, Hacettepe Journal of Mathematics and Statistics, c. 39, sy. 4, ss. 489–496, 2010.
ISNAD Özgür, Cihan vd. “CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION”. Hacettepe Journal of Mathematics and Statistics 39/4 (Nisan 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 vd. “CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION”. Hacettepe Journal of Mathematics and Statistics, c. 39, sy. 4, 2010, ss. 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.