TY - JOUR T1 - CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION TT - CR-SUBMANIFOLDS OF A LORENTZIAN PARA-SASAKIAN MANIFOLD WITH A SEMI-SYMMETRIC METRIC CONNECTION AU - Özgür, Cihan AU - Ahmad, Mobin AU - Haseeb,  abdul PY - 2010 DA - April JF - Hacettepe Journal of Mathematics and Statistics PB - Hacettepe University WT - DergiPark SN - 2651-477X SP - 489 EP - 496 VL - 39 IS - 4 LA - en AB - 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. KW - CR-submanifold KW - Lorentzian para-Sasakian manifold KW - Semi-symmetric metric connection KW - Integrability conditions of the distributions KW - 2000 AMS Classification: 53 D 12 CR - 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). CR - De, U. C. and Sengupta, A. K. CR-submanifolds of a Lorentzian para-Sasakian manifold, Bull. Malaysian Math. Sci. Soc. 23, 99–106, 2000. CR - Friedmann, A., Schouten, J. A., Uber die Geometric der halbsymmetrischen Ubertragung, Math. Z. 21, 211–223, 1924. CR - Kobayashi, M. CR-submanifolds of Sasakian manifold, Tensor (N.S.) 35, 297–307, 1981. CR - Matsumoto, K. On a Lorentzian para-contact manifolds, Bull. of Yamagata Univ. Nat. Sci. 12, 151–156, 1989. CR - Matsumoto, K. and Mihai, I. On a certain transformation in a Lorentzian para-Sasakian manifold, Tensor (N.S.) 47, 189–197, 1988. CR - Mihai, I. and Rosca, R. On Lorentzian P -Sasakian manifolds, Classical Analysis, World Scientific Publ., Singapore, 155–169, 1992. CR - Sat¯o, I. On a structure similar to the almost contact structure, Tensor (N.S.) 30 (3), 219– 224, 1976. CR - 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). CR - Yano, K. On semi-symmetric metric connection, Rev. Roumaine Math. Pures Appl. 15, 1579–1586, 1970. UR - https://dergipark.org.tr/en/pub/hujms/article/101478 L1 - https://dergipark.org.tr/en/download/article-file/86665 ER -