Mathematische Zeitschrift

, Volume 195, Issue 1, pp 99–107

Minimal hypersurfaces ofS4 with constant Gauss-Kronecker curvature

  • Sebastião Carneiro de Almeida
  • Fabiano Gustavo Braga Brito


Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.


  1. [A]
    Almeida, S.C.: Minimal hypersurfaces ofS 4 with non-zero Gauss-Kroenecker curvature. Bol. Soc. Bras. Mat.14, 137–146 (1983)Google Scholar
  2. [B]
    Barbosa, J.L.M.: On minimal immersions ofS 2 intoS 2m. Trans. Am. Mat. Soc. Vol.210, 75–106 (1975)Google Scholar
  3. [C]
    Cartan, E.: Familles de surfaces isoparametriques dans les espaces à courbure constante. Annali di Mat.17, 177–191 (1938)Google Scholar
  4. [C, D, K]
    Chern, S.S., do Carmo, M., Kobayashi, S.: Minimal submanifolds of the sphere with second fundamental form of constant length. In: Functional analysis and related fields ed. F. Browder. Berlin Heidelberg New York: Springer 1970Google Scholar
  5. [H]
    Hsiang, W.Y.: Remarks on closed minimal submanifolds in the standard riemannianm-sphere. J. Differ. Geom.1, 257–267 (1967)Google Scholar
  6. [L1]
    Lawson, B. Jr: Local rigidity theorems for minimal hypersurfaces. Ann. Math., II Ser.89, 187–197 (1969)Google Scholar
  7. [L2]
    Lawson, B. Jr.: Minimal varieties in real and complex geometry. Seminaire de Mathematiques Supérieures — Departement de Mathematiques — Université de Montreal — 1974 — Les Presses de l'Université de MontrealGoogle Scholar
  8. [P, T]1
    Peng, C.K., Terng, C.L.: Minimal hypersurfaces of spheres with constant scalar curvature. Ann. Math. Stud.103, 177–198 (1983)Google Scholar
  9. [P, T]2
    Peng, C.K., Terng, C.L.: The scalar curvature of minimal hypersurfaces in spheres. Math. Ann.266, 105–113 (1983)Google Scholar

Copyright information

© Springer-Verlag 1987

Authors and Affiliations

  • Sebastião Carneiro de Almeida
    • 1
  • Fabiano Gustavo Braga Brito
    • 2
  1. 1.Departmento de MatemáticaUniversidade Federal do CearáFortalezaBrazil
  2. 2.IME-USPSão PauloBrazil

Personalised recommendations