Skip to main content
SpringerLink
Log in

Lift of semi-symmetric non-metric connection on a Kähler manifold

  • Published:
Afrika Matematika Aims and scope Submit manuscript

Abstract

The tangent bundle endowed with semi-symmetric non-metric connection obtained by vertical and complete lifts of a semi-symmetric non-metric connection on the base manifold and proposes to study the tangent bundle of Kähler manifold. Finally we obtain some theorems for Nijenhuis tensor on the tangent bundle of a Kähler manifold.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. Friedmann, A., Schouten, J.A.: Uber die geometric der halbsymmetricschen Ubertragungen. Math Z. 21, 211–223 (1924)

    Article  MathSciNet  MATH  Google Scholar 

  2. Hayden, H.A.: Subspace of a space with torsion. Proc. Lond. Math. Soc. II Ser. 34, 27–50 (1932)

    Article  MathSciNet  MATH  Google Scholar 

  3. Yano, K.: On Semi-symmetric connections. Rev. Roum. Math. Pures et Appl. 15, 1579–1586 (1970)

    MATH  Google Scholar 

  4. Imai, T.: Notes on semi-symmetric metric connections. Tensor N.S 24, 293–296 (1972)

    MathSciNet  MATH  Google Scholar 

  5. Imai, T.: Hypersurfaces of a Riemannian manifold with semi-symmetric metric connection. Tensor (N.S.) 23, 300–306 (1972)

    MathSciNet  MATH  Google Scholar 

  6. Mishra, R.S.: Structures on a Differentiable Manifold and their Applications. Chandrama Prakashan, Allahabad (1984)

    MATH  Google Scholar 

  7. De, U.C.: On a type of semi-symmetric connection on a Riemannian manifold. Indian J. Pure Appl. Math. 21, 334–338 (1990)

    MathSciNet  MATH  Google Scholar 

  8. Agashe, N., Chafle, M.R.: A semi-symmetric non-metric connection on a Riemannian manifold. Indian J. Pure Appl. Math. 23(6), 399–409 (1992)

    MathSciNet  MATH  Google Scholar 

  9. Chaturvedi, B.B., Pandey, P.N.: A semi-symmetric non-metric connection on Kähler manifold. Differ. Geom. Dyn. Sys. 10, 86–90 (2008)

    MathSciNet  MATH  Google Scholar 

  10. Yano, K., Ishihara, S.: Tangent and Cotangent Bundles. Marcel Dekker Inc., New York (1973)

    MATH  Google Scholar 

  11. Tani, M.: Prolongations of hypersurfaces of tangent bundles. Kodai Math. Semp. Rep. 21, 85–96 (1969)

    Article  MathSciNet  MATH  Google Scholar 

  12. Das, L.S., Khan, M.N.I.: Almost r-contact structures on the Tangent bundle. Differ. Geom. Dyn. Syst. 7, 34–41 (2005)

    MathSciNet  MATH  Google Scholar 

  13. Khan, M.N.I.: Lifts of hypersurfaces with Quarter-symmetric semi-metric connection to tangent bundles. Afr. Mat. 25, 475–482 (2014). doi:10.1007/s13370-013-0150-x

    Article  MathSciNet  MATH  Google Scholar 

  14. Yano, K., Kobayahi, S.: Prolongations of tensorfields and connections to tangent bundle 1. J. Math. Soc. Jpn. 18, 194–210 (1966)

    Article  Google Scholar 

  15. Ianus, S., Udrite, C.: On the tangent bundle of a differentiable manifold. Stud. Cerc. Math 22, 599–611 (1970)

    MathSciNet  MATH  Google Scholar 

  16. Tekkoyun, M., Civelek, S.: On lifts of structures on complex manifolds. Differ. Geom. Dyn. Sys 5(1), 373–382 (2008)

    MathSciNet  MATH  Google Scholar 

Download references

Acknowledgments

The author wish to express his gratitude to the referee of this paper for his/her valuable comments in order to improve it.

Author information

Authors and Affiliations

  1. Department of Computer Science, College of Computer, Qassim University, P.O. Box 6688, Buraidah, 51452, Saudi Arabia

    Mohammad Nazrul Islam Khan

Authors
  1. Mohammad Nazrul Islam Khan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Mohammad Nazrul Islam Khan.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Khan, M.N.I. Lift of semi-symmetric non-metric connection on a Kähler manifold. Afr. Mat. 27, 345–352 (2016). https://doi.org/10.1007/s13370-015-0350-7

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13370-015-0350-7

Keywords

Mathematics Subject Classification

Search

Navigation