Skip to main content
SpringerLink
Log in

Generalized horizontally weakly conformal submersion between semi-Riemannian manifold

  • Published:
Afrika Matematika Aims and scope Submit manuscript

Abstract

In this article we obtain the condition for the existence of generalized horizontally weakly conformal (HWC) submersion between degenerate manifolds. Moreover we conclude some results based on the curvature of HWC submersion.

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. Besse, A.L.: Einstein Manifolds. Springer, Berlin (1987)

    Book  MATH  Google Scholar 

  2. Duggal, K.L.: Lightlike Submanifolds of Semi-Riemannian Manifolds and Applications, vol. 364. Kluwer, Dordrecht (1996)

    Book  MATH  Google Scholar 

  3. Escobales Jr, R.H.: Riemannian submersion with totally geodesic fibres. J. Differ. Geom. 10, 715–737 (1967)

    MathSciNet  Google Scholar 

  4. Fuglede, B.: Harmonic morphisms between semi-Riemannian manifolds. Ann. Acad. Sci. Fenn. Math. 21, 31–50 (1996)

    MathSciNet  MATH  Google Scholar 

  5. Gray, A.: Pseudo-Riemannian almost product manifolds and submersions. J. Math. Mech. 10, 715–737 (1967)

    Google Scholar 

  6. Gudmundsson, S.: The geometry of Harmonic morphisms. Ph.D. Thesis, University of Leeds (1992)

  7. Kwon, J.H., Suh, Y.J.: On sectional and Ricci curvatures of semi-Riemannian submersions. Kodai Math. J. 20, 53–66 (1997)

    Article  MathSciNet  MATH  Google Scholar 

  8. Kupeli, D.N.: Singular Semi-Riemannian Geometry. Mathematics and its Applications, vol. 366. Kluwer, Dordrecht (1996)

    Book  MATH  Google Scholar 

  9. Magid, M.A.: Submersions from anti-de Sitter space with totally geodesic fibres. J. Differ. Geom. 16, 323–331 (1981)

    MathSciNet  MATH  Google Scholar 

  10. Mustafa, M.T.: Integral formulae for Harmonic morphisms. Ph.D. Thesis, University of Leeds (1995)

  11. O’ Neill, B.: The fundamental equations of a submersion. Mich. Math. J. 13, 459–469 (1966)

  12. Pambira, A.: Harmonic morphisms between degenrate semi-Riemannian manifolds. Beitrage zur Algebra und Geometrie 46(1), 261–281 (2005)

  13. Vogel, W.O.: Uber lineare Zusammennhange in singularen Riemannschen Raumen. Arch. Math. 16, 106–116 (1965)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Department of Mathematics, Jamia Millia Islamia, New Delhi, 110025, India

    Mohammed Jamali, Mohammed Hasan Shahid & Majid Ali Choudhary

Authors
  1. Mohammed Jamali
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Mohammed Hasan Shahid
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Majid Ali Choudhary
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Majid Ali Choudhary.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Jamali, M., Shahid, M.H. & Choudhary, M.A. Generalized horizontally weakly conformal submersion between semi-Riemannian manifold. Afr. Mat. 27, 1–11 (2016). https://doi.org/10.1007/s13370-014-0316-1

Download citation

  • Received:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s13370-014-0316-1

Keywords

Mathematics Subject Classification

Search

Navigation