Skip to main content
SpringerLink
Log in

On a class of pseudosymmetric \(LP\)-Sasakian manifolds

  • Published:
Afrika Matematika Aims and scope Submit manuscript

Abstract

The object of the present paper is to study pseudosymmetric,Weyl-pseudosymmetric and Ricci-pseudosymmetric \(LP\)-Sasakian manifolds.

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. Matsumoto, K.: On Lorentzian paracontact manifolds. Bull. Yamagata Univ. Nat. Sci. 12, 151–156 (1989)

    MATH  Google Scholar 

  2. Mihai, I., Rosca, R.: On Lorentzian P-Sasakian Manifolds. Classical Analysis, pp. 155–169. World Scientific, Singapore (1992)

  3. De, U.C., Matsumoto, K., Shaikh, A.A.: On Lorentzian para-Sasakian manifolds. Rendiconti del Seminario Mat. de Messina 3, 149–158 (1999)

    Google Scholar 

  4. Mihai, I., Shaikh, A.A., De, U.C.: On Lorentzian para-Sasakian manifolds. Korean J. Math. Sci. 6, 1–13 (1999)

    Google Scholar 

  5. Matsumoto, K., Mihai, I.: On a certain transformation in a Lorentzian para-Sasakian manifold. Tensor (N.S.) 47, 189–197 (1988)

    MATH  MathSciNet  Google Scholar 

  6. Matsumoto, K., Mihai, I., Rosca, R.: \(\xi \)-null geodesic gradient vector fields on a Lorentzian para-Sasakian manifold. J. Korean Math. Soc. 32, 17–31 (1995)

    MATH  MathSciNet  Google Scholar 

  7. De, U.C., Shaikh, A.A.: On 3-dimensional LP-Sasakian manifolds. Soochow J. Math. 26, 359–368 (2000)

    MATH  MathSciNet  Google Scholar 

  8. Ozgur, C.: \(\phi \)-conformally flat Lorentzian para-Sasakian manifolds. Radovi matematicki 12, 99–106 (2003)

    MathSciNet  Google Scholar 

  9. Yano, K., Kon, M.: Structures on Manifolds. Series in Pure Math, vol. 3. World Scientific, Singapore (1984)

    Google Scholar 

  10. Verstraelen, L.: Comments on Pseudo-Symmetry in the Sense of Ryszard Deszcz. Geometric Topology of Submanifolds, vol. VI, pp. 199–209. World Scientific, River Edge (1994)

    Google Scholar 

  11. Kowalski, O., Sekizawa, M.: Pseudo-symmetric spaces of constant type in dimension three. Rendiconti di Matematica Serie VII 17, 477–512 (1997)

    MATH  MathSciNet  Google Scholar 

  12. Szabo, Z.I.: Structure theorems on Riemannian spaces satisfying \(R(X, Y).R=0, I\): the local version. J. Diff. Geom. 17, 531–582 (1982)

    MATH  Google Scholar 

  13. Kowalski, O.: An explicit classification of 3-dimensional Riemannian spaces satisfying \(R(X, Y)\cdot R =0\). Czechoslov. Math. J. 46(121), 427–474 (1996)

    MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Konnagar High School (H.S.), 68 G.T. Road (West), Hooghly, Konnagar,  712235, West Bengal, India

    Krishnendu De

  2. Department of Pure Mathematics, Calcutta University, 35 Ballygunge Circular Road, Kolkata,  700019, West Bengal, India

    Uday Chand De

Authors
  1. Krishnendu De
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Uday Chand De
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Krishnendu De.

Rights and permissions

Reprints and permissions

About this article

Cite this article

De, K., De, U.C. On a class of pseudosymmetric \(LP\)-Sasakian manifolds. Afr. Mat. 26, 131–138 (2015). https://doi.org/10.1007/s13370-013-0194-y

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13370-013-0194-y

Keywords

Mathematics Subject Classification (2010)

Search

Navigation