Skip to main content
SpringerLink
Log in

On a Cotangent Bundle with Deformed Riemannian Extension

  • Published:
Mediterranean Journal of Mathematics Aims and scope Submit manuscript

Abstract

The main purpose of this paper is to study deformed Riemannian extensions in the cotangent bundle. The curvature properties of metric connections for deformed Riemannian extensions are also investigated.

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. Aras M.: The metric connection with respect to the synectic metric. Hacet. J. Math. Stat. 41(2), 169–173 (2012)

    MathSciNet  MATH  Google Scholar 

  2. Aslanci S., Kazimova S., Salimov A.A.: Some notes concerning Riemannian extensions. Ukrainian Math. J. 62(5), 661–675 (2010)

    Article  MathSciNet  Google Scholar 

  3. Gudmundsson S., Kappos E.: On the geometry of tangent bundles. Expo. Math. 20(1), 1–41 (2002)

    Article  MathSciNet  MATH  Google Scholar 

  4. Kowalski O.: Curvature of the induced Riemannian metric on the tangent bundle of a Riemannian manifold. J. Reine Angew. Math. 250, 124–129 (1971)

    MathSciNet  MATH  Google Scholar 

  5. Musso E., Tricerri F.: Riemannian metrics on tangent bundles. Ann. Mat. Pura. Appl. 150(4), 1–19 (1988)

    Article  MathSciNet  MATH  Google Scholar 

  6. Oproiu, V.: Harmonic maps between tangent bundles. Rend. Sem. Mat. Univ. Politec. Torino 47(1) (1989), 47–55 (1991)

  7. Salimov, A.: Tensor operators and their applications. In: Mathematics Research Developments Series. Nova Science Publishers, Inc., New York (2012)

  8. Sasaki S.: On the differential geometry of tangent bundles of Riemannian manifolds. Tohoku Math. J. 10, 338–354 (1958)

    Article  MathSciNet  MATH  Google Scholar 

  9. Sekizawa M.: Curvatures of tangent bundles with Cheeger–Gromoll metric. Tokyo J. Math. 14, 407–417 (1991)

    Article  MathSciNet  MATH  Google Scholar 

  10. Talantova N.V., Shirokov A.P.: A remark on a certain metric in the tangent bundle. Izv. Vys. Ucebn. Zaved. Matematika 157(6), 143–146 (1975)

    Google Scholar 

  11. Vishnevskii, V.V., Shirokov, A.P., Shurygin, V.V.: Spaces Over Algebras. Kazanskii Gosudarstvennyi Universitet, Kazan (1985)

  12. Yano, K., Ishihara Sh.: Tangent and Cotangent Bundles. Mercel Dekker, Inc., New York (1973)

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Arts and Sciences, Ordu University, 52200, Ordu, Turkey

    Seher Aslanci

  2. Department of Mathematics, Faculty of Science, Ataturk University, 25240, Erzurum, Turkey

    Rabia Cakan

Authors
  1. Seher Aslanci
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Rabia Cakan
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Rabia Cakan.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Aslanci, S., Cakan, R. On a Cotangent Bundle with Deformed Riemannian Extension. Mediterr. J. Math. 11, 1251–1260 (2014). https://doi.org/10.1007/s00009-013-0337-2

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00009-013-0337-2

Mathematics Subject Classification (2010)

Keywords

Search

Navigation