Skip to main content
SpringerLink
Log in

An example of special lagrangian fibration

  • Published:
Science in China Series A: Mathematics Aims and scope Submit manuscript

Abstract

On the total space of the line bundle\(\pi :\pi _1^ * T^ * P_1 \otimes \pi _2^ * T^ * P^1 \to P_1 \times P^1 \), a complete Ricci-flat Kaehler metric and a smooth special Lagrangian fibration are given. This special Lagrangian fibration is smoothly built up of 4 Harvey-Lawson’s models in 4 directions.

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. Strominger, A., Yau, S. T., Zaslow, Z., Mirror symmetry is T-dual, Nucl. Phys. B., 1996, 479(1–2): 243–259.

    MATH  MathSciNet  Google Scholar 

  2. Goldstein, E., Calibrated fibrations on noncompact manifolds via torus action, Duck Math. J., 2001, 110(2): 309–343.

    Article  MATH  Google Scholar 

  3. Gross, M., Examples of special Lagrangian fibrations, in Symplectic Geometry and Mirror Symmetry (eds. Fukaya, K., Oh, Y. G., Ono, K. et al.), Singapore: World Scientific, 2001, 81–109.

    Google Scholar 

  4. Fu, J. X., Rigidity of a class of special Lagrangian fibrations singularity, Asian J. Math., 2000, 6(4): 663–678.

    Google Scholar 

  5. Harvey, F. R., Lawson, H. B., Calibrated geometries, Acta Math., 1982, 148: 47–157.

    Article  MATH  MathSciNet  Google Scholar 

  6. Patrizo, G., Wong, P. M., Stein manifolds with compact symmetric centers, Math. Ann., 1991, 289(3): 355–382.

    Article  MathSciNet  Google Scholar 

  7. Bryant, R., Minimal Lagrangian submanifolds Kaehler-Einstein manifolds, in Differential Geometry and Differential Equations, Lecture Notes in Mathematics 1255 (eds. Gu, C. H., Berger, M., Bryant, R. L.), Berlin: Springer-Verlag, 1985, 1–12.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Mathematics of Fudan University, 200433, Shanghai, China

    Jixiang Fu

Authors
  1. Jixiang Fu
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Jixiang Fu.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Fu, J. An example of special lagrangian fibration. Sci. China Ser. A-Math. 48, 1027–1032 (2005). https://doi.org/10.1360/04ys0081

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1360/04ys0081

Keywords

Search

Navigation