Skip to main content
SpringerLink
Log in

Stability of hypersurfaces of constant mean curvature in Riemannian manifolds

  • Published:
Mathematische Zeitschrift 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.

Institutional subscriptions

References

  1. Abresch, U.: Constant mean curvature tori in terms of elliptic functions, Preprint MPI-SFB 85-50, Bonn, 1985

  2. Barbosa, J.L., do Carmo, M.: Stabilty of hypersurfaces with constant mean curvature. Math. Z.185, 339–353 (1984)

    Google Scholar 

  3. Berger, M., Gauduchon, P., Mazet, E.: Le spectre d'une variété Riemanniene, Lect. Notes Math.194. Berlin-Heidelberg-New York: Springer 1971

    Google Scholar 

  4. Heintze, E.: Extrinsic upper bounds for λ1. Preprint Univ. Augsburg No. 93, 1986

  5. Hsiang, W.Y., Teng, Z.H., Yu, W.: New examples of constant mean curvature immersions of (2k−1)-spheres into Euclidean 2k-space. Ann. Math.117, 609–625 (1983)

    Google Scholar 

  6. Lawson, H.B., Jr.: Lectures on minimal submanifolds, vol. I. Math. Lecture Series, 9. Boston: Publish or Perish 1980

    Google Scholar 

  7. O'Neill, B.: The fundamental equations of a submersion. Mich. Math. J.,23, 459–469 (1966)

    Google Scholar 

  8. Silveira, A.M. da: Stable complete surfaces with constant mean curvature. Math. Ann.277, 629–638 (1987)

    Google Scholar 

  9. Schmidt, E.: Beweis der isoperimetrischen Eigenschaft der Kugel im hyperbolischen und sphärischen Raum jeder Dimensionszahl. Math. Z.49, (1943/44)

  10. Wente, H.: Counter-example to the Hopf conjecture. Pac. J. Math.121, 193–244 (1986)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departamento de Matemática, Universidade Federal do Ceará, Campus do Pici, 60000, Fortaleza, Ceará, Brasil

    J. Lucas Barbosa

  2. Instituto de Matemática Pura e Aplicada, Estrada D. Castorina 110, J. Botânico, 22460, Rio de Janeiro, Brasil

    Manfredo do Carmo

  3. Mathematisches Institut der Universität, Hebelstr. 29, D-7800, Freiburg, Federal Republic of Germany

    Jost Eschenburg

Authors
  1. J. Lucas Barbosa
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Manfredo do Carmo
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Jost Eschenburg
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Barbosa, J.L., do Carmo, M. & Eschenburg, J. Stability of hypersurfaces of constant mean curvature in Riemannian manifolds. Math Z 197, 123–138 (1988). https://doi.org/10.1007/BF01161634

Download citation

  • Received:

  • Revised:

  • Issue Date:

  • DOI: https://doi.org/10.1007/BF01161634

Keywords

Search

Navigation