Skip to main content
Log in

A characterization of the Clifford Torus

  • Published:
Rendiconti del Circolo Matematico di Palermo Aims and scope Submit manuscript

Abstract

In this paper we give a characterization of the Clifford Torus among the minimal hypersulfaces with constant scalar of curvature immersed in (n+1)-dimensional sphere in terms of its index.

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. Barbosa J.L., Colares A.G.,Stability of Hypersurfaces with Constant r-Mean Curvature, preprint.

  2. Berger M., Gauduchon P., Mazet E.,Le Spectre d'une Varìeté Riemannienne. Lectures Notes in Mathematics, Springer-Verlag, Vol.194 (1971).

  3. Chern S.S., do Carmo M., Kobayashi S.,Minimal submanifolds of a sphere with second fundamental form of constant linght; Functional Analysis and Related Fields, Proc. Conf. in Honor of Marshall Stone, Springer, Berlin (1970), 57–75.

    Google Scholar 

  4. Simons J.,Minimal varieties in Riemannian manifolds, Ann. of Math.88 (1968), 62–105.

    Article  MathSciNet  Google Scholar 

  5. Urbano F.,Minimal surfaces with low index in the three-dimensional sphere, Proc. Ame. Math. soc.108 (1990), 989–992.

    Article  MATH  MathSciNet  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to I. Guadalupe.

Rights and permissions

Reprints and permissions

About this article

Cite this article

Guadalupe, I., Junior, A.B. & Delgado, J.A. A characterization of the Clifford Torus. Rend. Circ. Mat. Palermo 48, 537–540 (1999). https://doi.org/10.1007/BF02844342

Download citation

  • Received:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF02844342

Keywords

Navigation