BibTex RIS Kaynak Göster

On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT 

Yıl 2012, Cilt: 41 Sayı: 4, 507 - 513, 01.04.2012

Kaynakça

  • Chen, B. Y. and Yano, K. Hypersurfaces of a conformally flat space, Tensor (N.S.) 26, 318–322, 1972.
  • Chen, B. Y. and Yano, K. Special conformally flat spaces and canal hypersurfaces, Tohoku Math. J. 25, 177–184, 1973.
  • De, U. C. On a type of semi-symmetric connection on a Riemannian manifold, Indian J. Pure Appl. Math. 21 (4), 334–338, 1990.
  • De, U. C. and J. Sengupta, J. On a type of semi-symmetric metric connection of an almost contact metric manifold, Filomat 14, 33–42, 2000.
  • De, U. C. and Ghosh, S. K. On weakly Ricci symmetric space, Publ. Math. Debrecen 60 (1- 2), 201–208, 2002.
  • De, U. C., Jun, J. B. and Gazi, A. K. Sasakian manifolds with quasi-conformal curvature tensor, Bull. Korean Math Soc. 45 (2), 313–319, 2008.
  • Freidmann, A. and Schouten, J. A. Uber die Geometrie der halbsymmetrischen, Ubertra- gung, Math.Zeitschr. 21 (1), 211–213, 1924.
  • Hayden, H. A. Subspaces of a space with torsion, Proc. London Math. Soc. 34, 27–50, 1932. [9] Imai, T. Notes on semi-symmetric metric connections, Tensor (N.S) 24, 293–296, 1972.
  • Jana, S. K. and Shaikh, A. A. On quasi-conformally flat weakly Ricci symmetric manifolds, Acta Math. Hungar. 115 (3), 197–214, 2007.
  • Mocanu, A. L. Les varietes a courbure quasi-constant de type Vranceanu, Lucr. Conf. Nat. de Geom Si. Top., Tirgoviste, 1987.
  • Murathan, C. and Ozgur, C. Riemannian manifolds with a semi-symmetric metric connec- tion satisfying some semisymmetry conditions, Proc. Estonian Aca. Sci. 57 (4), 210–216, 2008. [13] Nakao, Z. Submanifolds of a Riemannian manifold with semi-symmetric metric connection, Proc. Amer. Math. Soc. 54, 261–266, 1976.
  • Ozgur, C. and Murathan, C. Chen inequalities for submanifolds of a locally conformal almost cosymplectic manifold with a semi-symmetric metric connection, An. St. Univ. Ovidius Constunta 18 (1), 239–254, 2010.
  • Pathak, G. and De, U. C. On a semi-symmetric metric connection in a Kenmotsu manifold, Bull. Calcutta Math. Soc. 94 (4), 319–324, 2002.
  • Pujar, S. S. and De, U. C. A Sasakian manifolds admitting a contact metric semi-symmetric f connection, Ultra Sci. Phys. Sci. 12 (1), 7–11, 2000.
  • Schouten, J. A. Ricci-Calculus. An introduction to tensor analysis and its geometrical ap- plications(Springer-Verlag, Berlin, G¨ottingen, Heidelberg, 1954).
  • Shaikh, A. A., Matsuyama, Y., Jana, S. K. and Eyasmin, S. On the existence of weakly Ricci symmetric manifolds admitting semi-symmetric metric connection, Tensor (N.S.) 70 (1), 95–106, 2008.
  • Shaikh, A. A., Ozgur, C. and Jana, S. K. On generalized pseudo Ricci symmetric manifolds admitting semi-symmetric metric connection, Proc. Estonian Aca. Sci. 59 (3), 207–215, 2010. [20] Smaranda, D. Pseudo Riemannian recurrent manifolds with almost constant curvature, The XVIII Int. Conf. on Geometry and Topology, Oradea, 175–180, 1989 (Preprint 88-2, Univ. “Babes-Bolyai”, Cluj Napoca, 1988).
  • Tammassy, L. and Binh, T. Q. On weak symmetries of Einstein and Sasakian manifolds, Tensor (N.S.) 53, 140–148, 1993.
  • Vranceanu, G. H. Lecons des Geometrie Differential (4 Ed. de l’Academie, Bucharest, 1968). [23] Yano, K. The theory of Lie derivatives and its applications (North-Holland Publishing Co., P.Noordhoff Ltd., Amsterdam, 1955).
  • Yano, K. On semi-symmetric metric connection, Rev. Roum. Math. Pures at Appl. (Bu- carest) 15 (9), 1579–1586, 1970.
  • Yano, K. and Sawaki, S. Riemannian manifolds admitting a conformal transformation group, J. Differential Geometry 2, 161–184, 1968.

On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT 

Yıl 2012, Cilt: 41 Sayı: 4, 507 - 513, 01.04.2012

Kaynakça

  • Chen, B. Y. and Yano, K. Hypersurfaces of a conformally flat space, Tensor (N.S.) 26, 318–322, 1972.
  • Chen, B. Y. and Yano, K. Special conformally flat spaces and canal hypersurfaces, Tohoku Math. J. 25, 177–184, 1973.
  • De, U. C. On a type of semi-symmetric connection on a Riemannian manifold, Indian J. Pure Appl. Math. 21 (4), 334–338, 1990.
  • De, U. C. and J. Sengupta, J. On a type of semi-symmetric metric connection of an almost contact metric manifold, Filomat 14, 33–42, 2000.
  • De, U. C. and Ghosh, S. K. On weakly Ricci symmetric space, Publ. Math. Debrecen 60 (1- 2), 201–208, 2002.
  • De, U. C., Jun, J. B. and Gazi, A. K. Sasakian manifolds with quasi-conformal curvature tensor, Bull. Korean Math Soc. 45 (2), 313–319, 2008.
  • Freidmann, A. and Schouten, J. A. Uber die Geometrie der halbsymmetrischen, Ubertra- gung, Math.Zeitschr. 21 (1), 211–213, 1924.
  • Hayden, H. A. Subspaces of a space with torsion, Proc. London Math. Soc. 34, 27–50, 1932. [9] Imai, T. Notes on semi-symmetric metric connections, Tensor (N.S) 24, 293–296, 1972.
  • Jana, S. K. and Shaikh, A. A. On quasi-conformally flat weakly Ricci symmetric manifolds, Acta Math. Hungar. 115 (3), 197–214, 2007.
  • Mocanu, A. L. Les varietes a courbure quasi-constant de type Vranceanu, Lucr. Conf. Nat. de Geom Si. Top., Tirgoviste, 1987.
  • Murathan, C. and Ozgur, C. Riemannian manifolds with a semi-symmetric metric connec- tion satisfying some semisymmetry conditions, Proc. Estonian Aca. Sci. 57 (4), 210–216, 2008. [13] Nakao, Z. Submanifolds of a Riemannian manifold with semi-symmetric metric connection, Proc. Amer. Math. Soc. 54, 261–266, 1976.
  • Ozgur, C. and Murathan, C. Chen inequalities for submanifolds of a locally conformal almost cosymplectic manifold with a semi-symmetric metric connection, An. St. Univ. Ovidius Constunta 18 (1), 239–254, 2010.
  • Pathak, G. and De, U. C. On a semi-symmetric metric connection in a Kenmotsu manifold, Bull. Calcutta Math. Soc. 94 (4), 319–324, 2002.
  • Pujar, S. S. and De, U. C. A Sasakian manifolds admitting a contact metric semi-symmetric f connection, Ultra Sci. Phys. Sci. 12 (1), 7–11, 2000.
  • Schouten, J. A. Ricci-Calculus. An introduction to tensor analysis and its geometrical ap- plications(Springer-Verlag, Berlin, G¨ottingen, Heidelberg, 1954).
  • Shaikh, A. A., Matsuyama, Y., Jana, S. K. and Eyasmin, S. On the existence of weakly Ricci symmetric manifolds admitting semi-symmetric metric connection, Tensor (N.S.) 70 (1), 95–106, 2008.
  • Shaikh, A. A., Ozgur, C. and Jana, S. K. On generalized pseudo Ricci symmetric manifolds admitting semi-symmetric metric connection, Proc. Estonian Aca. Sci. 59 (3), 207–215, 2010. [20] Smaranda, D. Pseudo Riemannian recurrent manifolds with almost constant curvature, The XVIII Int. Conf. on Geometry and Topology, Oradea, 175–180, 1989 (Preprint 88-2, Univ. “Babes-Bolyai”, Cluj Napoca, 1988).
  • Tammassy, L. and Binh, T. Q. On weak symmetries of Einstein and Sasakian manifolds, Tensor (N.S.) 53, 140–148, 1993.
  • Vranceanu, G. H. Lecons des Geometrie Differential (4 Ed. de l’Academie, Bucharest, 1968). [23] Yano, K. The theory of Lie derivatives and its applications (North-Holland Publishing Co., P.Noordhoff Ltd., Amsterdam, 1955).
  • Yano, K. On semi-symmetric metric connection, Rev. Roum. Math. Pures at Appl. (Bu- carest) 15 (9), 1579–1586, 1970.
  • Yano, K. and Sawaki, S. Riemannian manifolds admitting a conformal transformation group, J. Differential Geometry 2, 161–184, 1968.
Toplam 21 adet kaynakça vardır.

Ayrıntılar

Birincil Dil Türkçe
Bölüm Matematik
Yazarlar

Sezgin Altay Demirbağ Bu kişi benim

Yayımlanma Tarihi 1 Nisan 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 41 Sayı: 4

Kaynak Göster

APA Demirbağ, S. A. (2012). On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 41(4), 507-513.
AMA Demirbağ SA. On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. Nisan 2012;41(4):507-513.
Chicago Demirbağ, Sezgin Altay. “On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41, sy. 4 (Nisan 2012): 507-13.
EndNote Demirbağ SA (01 Nisan 2012) On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 41 4 507–513.
IEEE S. A. Demirbağ, “On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, c. 41, sy. 4, ss. 507–513, 2012.
ISNAD Demirbağ, Sezgin Altay. “On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 41/4 (Nisan 2012), 507-513.
JAMA Demirbağ SA. On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41:507–513.
MLA Demirbağ, Sezgin Altay. “On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, c. 41, sy. 4, 2012, ss. 507-13.
Vancouver Demirbağ SA. On Weakly Ricci Symmetric Manifolds Admitting a Semi-Symmetric Metric Connection  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2012;41(4):507-13.