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

Year 2012, Volume: 41 Issue: 4, 507 - 513, 01.04.2012

References

  • 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 

Year 2012, Volume: 41 Issue: 4, 507 - 513, 01.04.2012

References

  • 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.
There are 21 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Sezgin Altay Demirbağ This is me

Publication Date April 1, 2012
Published in Issue Year 2012 Volume: 41 Issue: 4

Cite

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. April 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, no. 4 (April 2012): 507-13.
EndNote Demirbağ SA (April 1, 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, vol. 41, no. 4, pp. 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 (April 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, vol. 41, no. 4, 2012, pp. 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.