Skip to main content
Log in

Counterexamples to the conjecture on minimalS 2 inCP n with constant Kaehler angle

  • Published:
manuscripta mathematica Aims and scope Submit manuscript

Abstract

In this paper we give three families of counterexamples to the conjecture made by J. Bolton et al. in 1987: a minimal 2-sphereS 2 inC.P n with constant Kaehler angle ϕ≠0, π, π/2 has to be the round sphereS 2.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. J. Bolton, G.R. Jensen, M. Rigoli, L.M. Woodward,On conformal minimal immersions of S 2 into CP n, Math. Ann.279 (1988), 599–620

    Article  MathSciNet  Google Scholar 

  2. S.S. Chern, J.G. Wolfson,Minimal surfaces by moviny frams, Amer. J. Math.105 (1983), 59–83

    Article  MathSciNet  Google Scholar 

  3. —,Harmonic maps of the two-sphere into a complex Grassmann manifold II. Ann. of Math.125 (1987), 301–335

    Article  MathSciNet  Google Scholar 

  4. Y. Zheng,Quantization of curvature of harmonic two-spheres in Grassmann manifolds. Trans. Amer. Math. Soc.316 (1989), 193–214

    Article  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Additional information

Research supported partially by NNSFC, NSFJX and Doctoral Programme Foundation of Institution High Education

Rights and permissions

Reprints and permissions

About this article

Cite this article

Zhenqi, L. Counterexamples to the conjecture on minimalS 2 inCP n with constant Kaehler angle. Manuscripta Math 88, 417–431 (1995). https://doi.org/10.1007/BF02567831

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02567831

Keywords

Navigation