BibTex RIS Kaynak Göster

ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION

Yıl 2016, Cilt: 65 Sayı: 1, 171 - 186, 01.02.2016
https://doi.org/10.1501/Commua1_0000000752

Öz

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

Kaynakça

  • 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.
  • 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.
  • Alghanemi, A., CR submanifolds of a S manifold, Turkish J. Math. 32 (2008), 141-154.
  • Balkan, Y. S., Aktan, N., Özüsaglam, E., Cylcic-Parallel Ricci Tensor of Almost S- manifolds,, Konuralp Journal of Mathematics, 1(1), (2013), 1-7.
  • Bejancu, A., CR submanifolds of a Kaehler manifold I, Proc. Am. Math. Soc. 69 (1978), 142.
  • Bejancu, A., Geometry of CR-submanifolds, D. Reidel Pub. Co., (1986).
  • 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.
  • Blair, D. E. Geometry of manifolds with structural group U (n) O(s), J. Diğer. Geom. 4 (1970), 155-167.
  • 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.
  • 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.
  • Goldberg, S. I., Yano, K., On normal globally framed manifolds, Tôhoku Math. J., 22 (1970), 370.
  • Gündüzalp, Y., Framed complex submersions, Konuralp Journal of Mathematics, 2(2), (2014), 9-21.
  • Gündüzalp, Y., Riemannian submersions from framed metric manifolds, International Elec- tronic Journal of Geometry, 6(1), (2013), 89-99.
  • Hayden, H. A., Subspaces of a space with torsion, Proc. London Math. Soc., 34 (1932), 27-50.
  • Fernandez, L. M., CR-products of S-manifold, Portugal Math. 47(2), (1990), 167-181.
  • Friedmann, A., Schouten, J. A., Uber die Geometric der halbsymmetrischen Ubertragung, Math. Z. 21 (1924), 211-223.
  • Kobayashi, M., CR-submanifolds of a Sasakian manifold, Tensor N.S. 35 (1981), 297-307.
  • Mihai, I., CR subvarietati ale unei f-varietati cu repere complementare, Stud. Cerc. Math., , NR 2 (1983), 127-136.
  • Ornea, L., subvarietati Cauchy-Riemann generice in S varietati, Stud. Cerc. Math., 36, NR (1984), 435-443.
  • 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.
  • ¸Sahin, B., Rıfat, G., Geodesic CR Lightlike Submanifolds, Beiträge zur Algebra and Geome- trie Contributions to Algebra and Geometry, 42(2), (2001), 583-594.
  • 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.
Yıl 2016, Cilt: 65 Sayı: 1, 171 - 186, 01.02.2016
https://doi.org/10.1501/Commua1_0000000752

Öz

Kaynakça

  • 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.
  • 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.
  • Alghanemi, A., CR submanifolds of a S manifold, Turkish J. Math. 32 (2008), 141-154.
  • Balkan, Y. S., Aktan, N., Özüsaglam, E., Cylcic-Parallel Ricci Tensor of Almost S- manifolds,, Konuralp Journal of Mathematics, 1(1), (2013), 1-7.
  • Bejancu, A., CR submanifolds of a Kaehler manifold I, Proc. Am. Math. Soc. 69 (1978), 142.
  • Bejancu, A., Geometry of CR-submanifolds, D. Reidel Pub. Co., (1986).
  • 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.
  • Blair, D. E. Geometry of manifolds with structural group U (n) O(s), J. Diğer. Geom. 4 (1970), 155-167.
  • 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.
  • 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.
  • Goldberg, S. I., Yano, K., On normal globally framed manifolds, Tôhoku Math. J., 22 (1970), 370.
  • Gündüzalp, Y., Framed complex submersions, Konuralp Journal of Mathematics, 2(2), (2014), 9-21.
  • Gündüzalp, Y., Riemannian submersions from framed metric manifolds, International Elec- tronic Journal of Geometry, 6(1), (2013), 89-99.
  • Hayden, H. A., Subspaces of a space with torsion, Proc. London Math. Soc., 34 (1932), 27-50.
  • Fernandez, L. M., CR-products of S-manifold, Portugal Math. 47(2), (1990), 167-181.
  • Friedmann, A., Schouten, J. A., Uber die Geometric der halbsymmetrischen Ubertragung, Math. Z. 21 (1924), 211-223.
  • Kobayashi, M., CR-submanifolds of a Sasakian manifold, Tensor N.S. 35 (1981), 297-307.
  • Mihai, I., CR subvarietati ale unei f-varietati cu repere complementare, Stud. Cerc. Math., , NR 2 (1983), 127-136.
  • Ornea, L., subvarietati Cauchy-Riemann generice in S varietati, Stud. Cerc. Math., 36, NR (1984), 435-443.
  • 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.
  • ¸Sahin, B., Rıfat, G., Geodesic CR Lightlike Submanifolds, Beiträge zur Algebra and Geome- trie Contributions to Algebra and Geometry, 42(2), (2001), 583-594.
  • 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.
Toplam 22 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Research Article
Yazarlar

Mehmet Akif Akyol Bu kişi benim

Ramazan Sarı Bu kişi benim

Yayımlanma Tarihi 1 Şubat 2016
Yayımlandığı Sayı Yıl 2016 Cilt: 65 Sayı: 1

Kaynak Göster

APA Akyol, M. A., & Sarı, R. (2016). ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 65(1), 171-186. https://doi.org/10.1501/Commua1_0000000752
AMA Akyol MA, Sarı R. ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. Şubat 2016;65(1):171-186. doi:10.1501/Commua1_0000000752
Chicago Akyol, Mehmet Akif, ve Ramazan Sarı. “ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65, sy. 1 (Şubat 2016): 171-86. https://doi.org/10.1501/Commua1_0000000752.
EndNote Akyol MA, Sarı R (01 Şubat 2016) ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65 1 171–186.
IEEE M. A. Akyol ve R. Sarı, “ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., c. 65, sy. 1, ss. 171–186, 2016, doi: 10.1501/Commua1_0000000752.
ISNAD Akyol, Mehmet Akif - Sarı, Ramazan. “ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 65/1 (Şubat 2016), 171-186. https://doi.org/10.1501/Commua1_0000000752.
JAMA Akyol MA, Sarı R. ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65:171–186.
MLA Akyol, Mehmet Akif ve Ramazan Sarı. “ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, c. 65, sy. 1, 2016, ss. 171-86, doi:10.1501/Commua1_0000000752.
Vancouver Akyol MA, Sarı R. ON CR SUBMANIFOLDS OF A S MANIFOLD ENDOWED WITH A SEMI-SYMMETRIC NON-METRIC CONNECTION. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2016;65(1):171-86.

Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics.

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