BibTex RIS Kaynak Göster
Yıl 2017, Cilt: 13 Sayı: 3, 729 - 736, 30.09.2017

Öz

Kaynakça

  • Akyol, M. A., Vanli, A. T., Fernandez, L. M., Curvature properties of a semi-symmetric metric connection on S􀀀manifolds, Ann. Polon. Math. 107(1), (2013), 71-86. [2] Alegre, P., Semi invariant submanifolds of Lorentzian Sasakian manifold, Demonstratio Mathematica, XLIV(2), (2011), 391-406. [3] Alghanemi, A., CR􀀀submanifolds of a S􀀀manifold, Turkish J. Math. 32 (2008), 141-154. [4] Bejancu, A., CR􀀀submanifolds of a Kaehler manifold I, Proc. Am. Math. Soc. 69 (1978), 135-142. [5] Bejancu, A., Geometry of CR-submanifolds, D. Reidel Pub. Co., (1986). [6] 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. [7] Blair, D. E. Geometry of manifolds with structural group U(n)  O(s), J. Di er. Geom. 4 (1970), 155-167. [8] Cabrerizo, J. L., Fernandez L. M., Fernandez, M., The curvature tensor elds on f-manifolds with complemented frames, An. Sti. Univ. \Al. I. Cuza", Iasi, 36 (1990), 151-161. SOME PROPERTIES OF CR􀀀SUBMANIFOLDS OF AN S􀀀MANIFOLDS... 15 [9] Cabrerizo, J. L., Fernandez, L. M., and Fernandez, M., A classi cation Totally f􀀀umblical submanifolds of an S-manifold, Soochow J. Math. 18(2), (1992), 211-221. [10] Cabrerizo, J. L., Fernandez, L. M., and Fernandez, M., The curvature of submanifolds of S-space form, Acta Math. Hung. 62(3-4), (1993), 373-383. [11] Chandwani, R., Tripathi, M. M., CR-submanifolds of Quasi S􀀀manifolds, Soochow Journal of Mathematics, Vol. 28, No. 1, (2002), 101-124. [12] De, U. C., Sengupta, A. K., CR-submanifolds of a Lorentzian para-Sasakian manifold, Bull. Malays. Math. Sci. Soc. (2) 23 (2000), no. 2, 99^ae\106. [13] Goldberg, S. I., Yano, K., On normal globally framed manifolds, T^ohoku Math. J., 22 (1970), 362-370. [14] Hasegawa, I., Okuyama, Y., Abe, T., On p-th Sasakian manifolds, J. Hokkaido Univ. of Education, Section II A, 37(1), (1986), 1-16. [15] Fernandez, L. M., CR-products of S-manifold, Portugal Math. 47 (2), (1990), 167-181. [16] Friedmann, A., Schouten, j. A., Uber di Geometric der halbsymmetrischen Uberrtragung, Math. Z. 21, (1924), 211-223. [17] Kobayashi, M., CR-submanifolds of a Sasakian manifold, Tensor N.S. 35 (1981), 297-307. [18] Mihai, I., CR-subvarietati ale unei f-varietati cu repere complementare, Stud. Cerc. Mat. 35 (2), (1983), 127-136. [19] Ornea, L., Subvarietati Cauchy-Riemann generice in S-varietati, ibid. 36 (5), (1984), 435-443. [20] Ozgur, C., Ahmad, M., A. Hasseb, CR-submanifolds of a Lorentzian para-Sasakian manifold with a semi-symmetric metric connection, Hacet. J. Math. Stat. 39 (2010), no. 4, 489-496. [21] Vanli, A., Sari, R., On semi invariant submanifolds of a generalized Kenmotsu manifold ad- mitting a semi-symmetric metric connection, Acta Universitatis Apulensis, 43, (2015), 179-92. [22] 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. [23] Yano, K., On

Some Properties of CR-submanifolds of an S-manifold with a Semi-Symmetric Metric Connection

Yıl 2017, Cilt: 13 Sayı: 3, 729 - 736, 30.09.2017

Öz

We define a semi-symmetric metric connection in an
S-manifold and study CR-submanifolds of an S-manifold with a semi-symmetric
metric connection. Moreover, we also obtain integrability and parallel
conditions of the distributions on CR-submanifolds. Finally, we give some
results of the sectional curvatures of CR-submanifolds of an S-space form with
a semi-symmetric metric connection.

Kaynakça

  • Akyol, M. A., Vanli, A. T., Fernandez, L. M., Curvature properties of a semi-symmetric metric connection on S􀀀manifolds, Ann. Polon. Math. 107(1), (2013), 71-86. [2] Alegre, P., Semi invariant submanifolds of Lorentzian Sasakian manifold, Demonstratio Mathematica, XLIV(2), (2011), 391-406. [3] Alghanemi, A., CR􀀀submanifolds of a S􀀀manifold, Turkish J. Math. 32 (2008), 141-154. [4] Bejancu, A., CR􀀀submanifolds of a Kaehler manifold I, Proc. Am. Math. Soc. 69 (1978), 135-142. [5] Bejancu, A., Geometry of CR-submanifolds, D. Reidel Pub. Co., (1986). [6] 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. [7] Blair, D. E. Geometry of manifolds with structural group U(n)  O(s), J. Di er. Geom. 4 (1970), 155-167. [8] Cabrerizo, J. L., Fernandez L. M., Fernandez, M., The curvature tensor elds on f-manifolds with complemented frames, An. Sti. Univ. \Al. I. Cuza", Iasi, 36 (1990), 151-161. SOME PROPERTIES OF CR􀀀SUBMANIFOLDS OF AN S􀀀MANIFOLDS... 15 [9] Cabrerizo, J. L., Fernandez, L. M., and Fernandez, M., A classi cation Totally f􀀀umblical submanifolds of an S-manifold, Soochow J. Math. 18(2), (1992), 211-221. [10] Cabrerizo, J. L., Fernandez, L. M., and Fernandez, M., The curvature of submanifolds of S-space form, Acta Math. Hung. 62(3-4), (1993), 373-383. [11] Chandwani, R., Tripathi, M. M., CR-submanifolds of Quasi S􀀀manifolds, Soochow Journal of Mathematics, Vol. 28, No. 1, (2002), 101-124. [12] De, U. C., Sengupta, A. K., CR-submanifolds of a Lorentzian para-Sasakian manifold, Bull. Malays. Math. Sci. Soc. (2) 23 (2000), no. 2, 99^ae\106. [13] Goldberg, S. I., Yano, K., On normal globally framed manifolds, T^ohoku Math. J., 22 (1970), 362-370. [14] Hasegawa, I., Okuyama, Y., Abe, T., On p-th Sasakian manifolds, J. Hokkaido Univ. of Education, Section II A, 37(1), (1986), 1-16. [15] Fernandez, L. M., CR-products of S-manifold, Portugal Math. 47 (2), (1990), 167-181. [16] Friedmann, A., Schouten, j. A., Uber di Geometric der halbsymmetrischen Uberrtragung, Math. Z. 21, (1924), 211-223. [17] Kobayashi, M., CR-submanifolds of a Sasakian manifold, Tensor N.S. 35 (1981), 297-307. [18] Mihai, I., CR-subvarietati ale unei f-varietati cu repere complementare, Stud. Cerc. Mat. 35 (2), (1983), 127-136. [19] Ornea, L., Subvarietati Cauchy-Riemann generice in S-varietati, ibid. 36 (5), (1984), 435-443. [20] Ozgur, C., Ahmad, M., A. Hasseb, CR-submanifolds of a Lorentzian para-Sasakian manifold with a semi-symmetric metric connection, Hacet. J. Math. Stat. 39 (2010), no. 4, 489-496. [21] Vanli, A., Sari, R., On semi invariant submanifolds of a generalized Kenmotsu manifold ad- mitting a semi-symmetric metric connection, Acta Universitatis Apulensis, 43, (2015), 179-92. [22] 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. [23] Yano, K., On
Toplam 1 adet kaynakça vardır.

Ayrıntılar

Konular Mühendislik
Bölüm Makaleler
Yazarlar

Ramazan Sarı

Mehmet Akif Akyol

Elif Aksoy Bu kişi benim

Yayımlanma Tarihi 30 Eylül 2017
Yayımlandığı Sayı Yıl 2017 Cilt: 13 Sayı: 3

Kaynak Göster

APA Sarı, R., Akyol, M. A., & Aksoy, E. (2017). Some Properties of CR-submanifolds of an S-manifold with a Semi-Symmetric Metric Connection. Celal Bayar University Journal of Science, 13(3), 729-736. https://doi.org/10.18466/cbayarfbe.308923
AMA Sarı R, Akyol MA, Aksoy E. Some Properties of CR-submanifolds of an S-manifold with a Semi-Symmetric Metric Connection. CBUJOS. Eylül 2017;13(3):729-736. doi:10.18466/cbayarfbe.308923
Chicago Sarı, Ramazan, Mehmet Akif Akyol, ve Elif Aksoy. “Some Properties of CR-Submanifolds of an S-Manifold With a Semi-Symmetric Metric Connection”. Celal Bayar University Journal of Science 13, sy. 3 (Eylül 2017): 729-36. https://doi.org/10.18466/cbayarfbe.308923.
EndNote Sarı R, Akyol MA, Aksoy E (01 Eylül 2017) Some Properties of CR-submanifolds of an S-manifold with a Semi-Symmetric Metric Connection. Celal Bayar University Journal of Science 13 3 729–736.
IEEE R. Sarı, M. A. Akyol, ve E. Aksoy, “Some Properties of CR-submanifolds of an S-manifold with a Semi-Symmetric Metric Connection”, CBUJOS, c. 13, sy. 3, ss. 729–736, 2017, doi: 10.18466/cbayarfbe.308923.
ISNAD Sarı, Ramazan vd. “Some Properties of CR-Submanifolds of an S-Manifold With a Semi-Symmetric Metric Connection”. Celal Bayar University Journal of Science 13/3 (Eylül 2017), 729-736. https://doi.org/10.18466/cbayarfbe.308923.
JAMA Sarı R, Akyol MA, Aksoy E. Some Properties of CR-submanifolds of an S-manifold with a Semi-Symmetric Metric Connection. CBUJOS. 2017;13:729–736.
MLA Sarı, Ramazan vd. “Some Properties of CR-Submanifolds of an S-Manifold With a Semi-Symmetric Metric Connection”. Celal Bayar University Journal of Science, c. 13, sy. 3, 2017, ss. 729-36, doi:10.18466/cbayarfbe.308923.
Vancouver Sarı R, Akyol MA, Aksoy E. Some Properties of CR-submanifolds of an S-manifold with a Semi-Symmetric Metric Connection. CBUJOS. 2017;13(3):729-36.