TY - JOUR T1 - ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION AU - Akyol, Mehmet Akif AU - Sarı, Ramazan PY - 2016 DA - February DO - 10.1501/Commua1_0000000752 JF - Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics JO - Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. PB - Ankara University WT - DergiPark SN - 1303-5991 SP - 171 EP - 186 VL - 65 IS - 1 LA - en AB - In this paper, we study CR submanifolds of an S manifold endowed with a semi-symmetric non-metric connection. We give an example,investigating integrabilities of horizontal and vertical distributions of CR submanifolds endowed with a semi-symmetric non-metric connection. We alsoconsider parallel horizontal distributions of CR submanifolds KW - CR-submanifold KW - S-manifold KW - Semi-symmetric non-metric CR - Agashe, N. S. and Cha*e, M. R., A semi-symmetric non-metric connection on a Riemannian manifold, Indian J. Pure Appl. Math., 23 (1992), 399âe“409. CR - Aktan, N., On non-existence of lightlike hypersurfaces of inde…nite S-space form, Interna- tional Journal of Mathematics and Analysis, 5-8 (1-12), (2007), 187-202. CR - Alghanemi, A., CR submanifolds of a S manifold, Turkish J. Math. 32 (2008), 141-154. CR - Balkan, Y. S., Aktan, N., Özüsaglam, E., Cylcic-Parallel Ricci Tensor of Almost S- manifolds,, Konuralp Journal of Mathematics, 1(1), (2013), 1-7. CR - Bejancu, A., CR submanifolds of a Kaehler manifold I, Proc. Am. Math. Soc. 69 (1978), 142. CR - Bejancu, A., Geometry of CR-submanifolds, D. Reidel Pub. Co., (1986). CR - Bejancu, A., Papaghiuc, N., Semi-invariant submanifolds of a Sasakian manifold, Ann. Stiin. Univ. Al. I. Cuza. Iasi (serie nova), T. XXVII, Fasc. 1 (1981), 163-170. CR - Blair, D. E. Geometry of manifolds with structural group U (n) O(s), J. Diğer. Geom. 4 (1970), 155-167. CR - Cabrerizo, J. L., Fernandez, L. M., and Fernandez, M., A classi…cation of certain submani- folds of an S-manifold, Ann Polinici Mathematici 54 (2), (1991), 117-123. CR - Cabrerizo, J. L., Fernandez, L. M., and Fernandez, M., A classi…cation Totally fumblical submanifolds of an S-manifold, Soochow J. Math. 18(2), (1992), 211-221. CR - Goldberg, S. I., Yano, K., On normal globally framed manifolds, Tôhoku Math. J., 22 (1970), 370. CR - Gündüzalp, Y., Framed complex submersions, Konuralp Journal of Mathematics, 2(2), (2014), 9-21. CR - Gündüzalp, Y., Riemannian submersions from framed metric manifolds, International Elec- tronic Journal of Geometry, 6(1), (2013), 89-99. CR - Hayden, H. A., Subspaces of a space with torsion, Proc. London Math. Soc., 34 (1932), 27-50. CR - Fernandez, L. M., CR-products of S-manifold, Portugal Math. 47(2), (1990), 167-181. CR - Friedmann, A., Schouten, J. A., Uber die Geometric der halbsymmetrischen Ubertragung, Math. Z. 21 (1924), 211-223. CR - Kobayashi, M., CR-submanifolds of a Sasakian manifold, Tensor N.S. 35 (1981), 297-307. CR - Mihai, I., CR subvarietati ale unei f-varietati cu repere complementare, Stud. Cerc. Math., , NR 2 (1983), 127-136. CR - Ornea, L., subvarietati Cauchy-Riemann generice in S varietati, Stud. Cerc. Math., 36, NR (1984), 435-443. CR - Vanli, A., Sari, R., On semi invariant submanifolds of a generalized Kenmotsu manifold admitting a semi-symmetric non metric connection, Pure and Applied Mathematics Journal. (1-2), (2015), 14-18. CR - ¸Sahin, B., Rıfat, G., Geodesic CR Lightlike Submanifolds, Beiträge zur Algebra and Geome- trie Contributions to Algebra and Geometry, 42(2), (2001), 583-594. CR - Yano K. On a structure de…ned by a tensor …eld f of type (1; 1) satisfying f3+ f = 0. Tensor N S 14, (1963), 99-109. UR - https://doi.org/10.1501/Commua1_0000000752 L1 - https://dergipark.org.tr/en/download/article-file/774111 ER -