Skip to main content
SpringerLink
Log in

Geometry of the cotangent bundle with Sasakian metrics and its applications

  • Published:
Proceedings - Mathematical Sciences Aims and scope Submit manuscript

Abstract

The main aim of this paper is to study paraholomorpic Sasakian metric and Killing vector field with respect to the Sasakian metric in the cotangent bundle.

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. Aso K, Notes on some properties of the sectional curvature of the tangent bundle, Yokohama Math. J. 29 (1981) 1–5

  2. Akbulut S, Özdemir M and Salimov A A, Diagonal lift in the cotangent bundle and its applications, Turk. J. Math. 25 (2001) 491–502

  3. Cengiz N and Salimov A A, Diagonal lift in the tensor bundle and its applications, Applied Mathematics and Computation, 142 (2003) 309–319

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

  5. Kobayashi S and Nomizu K, Foundations of differential geometry (1963) (New York: A Wiley-Inter. Science Publ.)

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

  7. Kruchkovich G I, Hypercomplex structure on manifold, I, Tr. Sem. Vect. Tens. Anal., Moscow Univ. 16 (1972) 174–201

  8. Musso E and Tricerri F, Riemannian metric on tangent bundles, Ann. Math. Pura. Appl. 150(4) (1988) 1–19

  9. Salimov A A, Tensor operators and their applications (2013) (New York: Nova Science Publ.)

  10. Salimov A A and Cengiz N, Lifting of Riemannian metrics to tensor bundles Russian Math. (IZ. VUZ.) 47(11) (2003) 47–55

  11. Salimov A A, Gezer A and Akbulut K, Geodesics of Sasakian metrics on tensor bundles, Mediterr. J. Math. 6(2) (2009) 137–149

  12. Salimov A A, Iscan M and Etayo F, Paraholomorphic B-manifold and its properties, Topology and its Applications 154 (2007) 925–933

  13. Salimov A A and Agca F, On para-Nordenian structures, Ann. Polon. Math. 99.2 (2010) 193–200

  14. Salimov A A and Agca F, Some properties of Sasakian metrics in cotangent bundles, Mediterr. J. Math. 8 (2011) 243–255

  15. Sasaki S, On the Differantial geometry of tangent bundles of Riemannian manifols, Tohoku Math. J. 10 (1958) 338–358

  16. Yano K and Ishihara S, Tangent and cotangent bundles (1973) (New York: Marcel Dekker Inc.)

Download references

Acknowledgement

This paper is supported by the Scientific and Technological Research Council of Turkey (Project No. 112T111).

Author information

Authors and Affiliations

  1. Department of Mathematics, Faculty of Sciences, Karadeniz Technical University, 61080, Trabzon, Turkey

    F OCAK

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

    A A SALIMOV

Authors
  1. F OCAK
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A A SALIMOV
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to F OCAK.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

OCAK, F., SALIMOV, A.A. Geometry of the cotangent bundle with Sasakian metrics and its applications. Proc Math Sci 124, 427–436 (2014). https://doi.org/10.1007/s12044-014-0191-6

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s12044-014-0191-6

Keywords

2010 Mathematics Subject Classification

Search

Navigation