Skip to main content
SpringerLink
Log in

On branch points of superminimal surfaces in 4-manifolds

  • Published:
The Journal of Geometric Analysis Aims and scope Submit manuscript

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.

References

  1. Bryant, R.L. Conformai and minimal immersions of compact surfaces into the 4-sphere,J. Diff. Geom.,17, 455–473, (1982).

    MATH  Google Scholar 

  2. Eells, J. and Wood, J.C. Harmonic maps from surfaces into projective spaces,Adv. Math.,49, 217–263, (1983).

    Article  MathSciNet  MATH  Google Scholar 

  3. Feras, D., Pedit, F., Pinkall, U., and Sterling, I. Minimal tori in S4,Jr. reine u. angew. Math.,429, 1–47, (1992).

    Google Scholar 

  4. Gauduchon, P. Pseudo-immersions superminimales d’une surface de Riemann dans une variété riemannienne de dimension 4,Bull Soc. Math. France,114, 447–508, (1986).

    MathSciNet  MATH  Google Scholar 

  5. Lemaire, L. and Wood, J.C. On the space of harmonic 2-spheres inCP 2,Int. J. Math.,7(2), 211–226, (1996).

    Article  MathSciNet  MATH  Google Scholar 

  6. Micallef, M. and White, B. The structure of branch points in minimal surfaces and in pseudo-holomorphic curves,Ann. Math.,141, 35–85, (1995).

    Article  MathSciNet  MATH  Google Scholar 

  7. MacDuff, D. Singularities of J-holomorphic curves in almost complex 4-manifolds,J. Geom. Anal.,2(3), 249–266, (1992).

    MathSciNet  Google Scholar 

  8. Ville, M. The contribution of branch points to the twistor degree of area minimizing surfaces in 4-manifolds, preprint.

Download references

Author information

Authors and Affiliations

  1. Centre de Mathématiques, Ecole Polytechnique, C.N.R.S., F-91128, Palaiseau Cedex, France

    Marina Ville

Authors
  1. Marina Ville
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Marina Ville.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ville, M. On branch points of superminimal surfaces in 4-manifolds. J Geom Anal 10, 565–573 (2000). https://doi.org/10.1007/BF02921950

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02921950

Keywords

Search

Navigation