Araştırma Makalesi
BibTex RIS Kaynak Göster

Yıl 2010, Cilt: 3 Sayı: 1, 24 - 34, 30.04.2010

Sibel Sular

Öz

Kaynakça

  • [1] D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Progress in Mathematics 203, Birkhouser Boston, Inc., MA, 2002.
  • [2] M. C. Chaki, On pseudo symmetric manifolds, An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat. 33 (1987), no. 1, 53–58.
  • [3] M. C. Chaki, On pseudo Ricci symmetric manifolds, Bulgar. J. Phys. 15 (1988), no. 6, 526–531.
  • [4] U. C. De, N. Guha, On generalised recurrent manifolds, Proc. Math. Soc. 7 (1991), 7-11.
  • [5] U. C. De, G. Pathak, On a semi-symmetric metric connection in a Kenmotsu manifold, Bull. Calcutta Math. Soc. 94 (2002), no. 4, 319–324.
  • [6] A. Friedmann and J. A. Schouten, Über die Geometrie der halbsymmetrischen Übertragungen, Math. Z. 21 (1924), no. 1, 211–223.
  • [7] H. A. Hayden, Subspace of a space with torsion, Proceedings of the London Mathe- matical Society II Series 34 (1932), 27-50.
  • [8] T. Imai, Notes on semi-symmetric metric connections, Vol. I. Tensor (N.S.) 24 (1972), 293–296.
  • [9] T. Imai, Hypersurfaces of a Riemannian manifold with semi-symmetric metric con- nection, Tensor (N.S.) 23 (1972), 300–306.
  • [10] K. Kenmotsu, A class of almost contact Riemannian manifolds, Tohoku Math. Journ. 24(1972), 93-103.
  • [11] C. Özgür, On weakly symmetric Kenmotsu manifolds, Differ. Geom. Dyn. Syst. 8 (2006), 204–209.
  • [12] C. Özgür, On generalized recurrent Kenmotsu manifolds, World Applied Sciences Journal 2 (2007), no.1, 29-33.
  • [13] A. Sharfuddin and S. I. Husain, Semi-symmetric metric connexions in almost contact manifolds, Tensor(N.S.) 30 (1976), no. 2, 133–139.
  • [14] L. Tamássy, T. Q. Binh, On weakly symmetric and weakly projective symmetric Riemannian manifolds, Colloq. Math. Soc. J. Bolyai, 56 (1992), 663–670.
  • [15] L. Tamássy, T. Q. Binh, On weak symmetries of Einstein and Sasakian mani- folds,Tensor (N.S.) 53 (1993), no.1, 140–148.
  • [16] M. M. Tripathi, On a semi symmetric metric connection in a Kenmotsu manifold, J. Pure Math. 16 (1999), 67–71.
  • [17] K. Yano, On semi-symmetric metric connections, Rev. Roumaine Math. Pures Appl. 15 (1970), 1579-1586.
  • [18] A. Yücesan, On semi-Riemannian submanifolds of a semi-Riemannian manifold with a semi-symmetric metric connection, Kuwait J. Sci. Eng. 35 (2008), no. 1A, 53–69.

Some Properties of a Kenmotsu manifold with a semi-symmetric metric connection

Yıl 2010, Cilt: 3 Sayı: 1, 24 - 34, 30.04.2010

Sibel Sular

Öz

 

Anahtar Kelimeler

Kenmotsu manifold semi-symmetric metric connection generalized recurrent manifold generalized Ricci-recurrent manifold weakly symmetric manifold weakly Ricci-symmetric manifold

Kaynakça

  • [1] D. E. Blair, Riemannian geometry of contact and symplectic manifolds, Progress in Mathematics 203, Birkhouser Boston, Inc., MA, 2002.
  • [2] M. C. Chaki, On pseudo symmetric manifolds, An. Stiint. Univ. Al. I. Cuza Iasi Sect. I a Mat. 33 (1987), no. 1, 53–58.
  • [3] M. C. Chaki, On pseudo Ricci symmetric manifolds, Bulgar. J. Phys. 15 (1988), no. 6, 526–531.
  • [4] U. C. De, N. Guha, On generalised recurrent manifolds, Proc. Math. Soc. 7 (1991), 7-11.
  • [5] U. C. De, G. Pathak, On a semi-symmetric metric connection in a Kenmotsu manifold, Bull. Calcutta Math. Soc. 94 (2002), no. 4, 319–324.
  • [6] A. Friedmann and J. A. Schouten, Über die Geometrie der halbsymmetrischen Übertragungen, Math. Z. 21 (1924), no. 1, 211–223.
  • [7] H. A. Hayden, Subspace of a space with torsion, Proceedings of the London Mathe- matical Society II Series 34 (1932), 27-50.
  • [8] T. Imai, Notes on semi-symmetric metric connections, Vol. I. Tensor (N.S.) 24 (1972), 293–296.
  • [9] T. Imai, Hypersurfaces of a Riemannian manifold with semi-symmetric metric con- nection, Tensor (N.S.) 23 (1972), 300–306.
  • [10] K. Kenmotsu, A class of almost contact Riemannian manifolds, Tohoku Math. Journ. 24(1972), 93-103.
  • [11] C. Özgür, On weakly symmetric Kenmotsu manifolds, Differ. Geom. Dyn. Syst. 8 (2006), 204–209.
  • [12] C. Özgür, On generalized recurrent Kenmotsu manifolds, World Applied Sciences Journal 2 (2007), no.1, 29-33.
  • [13] A. Sharfuddin and S. I. Husain, Semi-symmetric metric connexions in almost contact manifolds, Tensor(N.S.) 30 (1976), no. 2, 133–139.
  • [14] L. Tamássy, T. Q. Binh, On weakly symmetric and weakly projective symmetric Riemannian manifolds, Colloq. Math. Soc. J. Bolyai, 56 (1992), 663–670.
  • [15] L. Tamássy, T. Q. Binh, On weak symmetries of Einstein and Sasakian mani- folds,Tensor (N.S.) 53 (1993), no.1, 140–148.
  • [16] M. M. Tripathi, On a semi symmetric metric connection in a Kenmotsu manifold, J. Pure Math. 16 (1999), 67–71.
  • [17] K. Yano, On semi-symmetric metric connections, Rev. Roumaine Math. Pures Appl. 15 (1970), 1579-1586.
  • [18] A. Yücesan, On semi-Riemannian submanifolds of a semi-Riemannian manifold with a semi-symmetric metric connection, Kuwait J. Sci. Eng. 35 (2008), no. 1A, 53–69.
Toplam 18 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makalesi
Yazarlar

Sibel Sular

Yayımlanma Tarihi 30 Nisan 2010
Yayımlandığı Sayı Yıl 2010 Cilt: 3 Sayı: 1

Kaynak Göster

APA Sular, S. (2010). Some Properties of a Kenmotsu manifold with a semi-symmetric metric connection. International Electronic Journal of Geometry, 3(1), 24-34.
AMA Sular S. Some Properties of a Kenmotsu manifold with a semi-symmetric metric connection. Int. Electron. J. Geom. Nisan 2010;3(1):24-34.
Chicago Sular, Sibel. “Some Properties of a Kenmotsu Manifold With a Semi-Symmetric Metric Connection”. International Electronic Journal of Geometry 3, sy. 1 (Nisan 2010): 24-34.
EndNote Sular S (01 Nisan 2010) Some Properties of a Kenmotsu manifold with a semi-symmetric metric connection. International Electronic Journal of Geometry 3 1 24–34.
IEEE S. Sular, “Some Properties of a Kenmotsu manifold with a semi-symmetric metric connection”, Int. Electron. J. Geom., c. 3, sy. 1, ss. 24–34, 2010.
ISNAD Sular, Sibel. “Some Properties of a Kenmotsu Manifold With a Semi-Symmetric Metric Connection”. International Electronic Journal of Geometry 3/1 (Nisan 2010), 24-34.
JAMA Sular S. Some Properties of a Kenmotsu manifold with a semi-symmetric metric connection. Int. Electron. J. Geom. 2010;3:24–34.
MLA Sular, Sibel. “Some Properties of a Kenmotsu Manifold With a Semi-Symmetric Metric Connection”. International Electronic Journal of Geometry, c. 3, sy. 1, 2010, ss. 24-34.
Vancouver Sular S. Some Properties of a Kenmotsu manifold with a semi-symmetric metric connection. Int. Electron. J. Geom. 2010;3(1):24-3.