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Minimal hypersurfaces ofS 4 with constant Gauss-Kronecker curvature

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References

  1. Almeida, S.C.: Minimal hypersurfaces ofS 4 with non-zero Gauss-Kroenecker curvature. Bol. Soc. Bras. Mat.14, 137–146 (1983)

    Google Scholar 

  2. Barbosa, J.L.M.: On minimal immersions ofS 2 intoS 2m. Trans. Am. Mat. Soc. Vol.210, 75–106 (1975)

    Google Scholar 

  3. Cartan, E.: Familles de surfaces isoparametriques dans les espaces à courbure constante. Annali di Mat.17, 177–191 (1938)

    Google Scholar 

  4. 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 1970

    Google Scholar 

  5. Hsiang, W.Y.: Remarks on closed minimal submanifolds in the standard riemannianm-sphere. J. Differ. Geom.1, 257–267 (1967)

    Google Scholar 

  6. Lawson, B. Jr: Local rigidity theorems for minimal hypersurfaces. Ann. Math., II Ser.89, 187–197 (1969)

    Google Scholar 

  7. 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 Montreal

  8. Peng, C.K., Terng, C.L.: Minimal hypersurfaces of spheres with constant scalar curvature. Ann. Math. Stud.103, 177–198 (1983)

    Google Scholar 

  9. Peng, C.K., Terng, C.L.: The scalar curvature of minimal hypersurfaces in spheres. Math. Ann.266, 105–113 (1983)

    Google Scholar 

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Authors and Affiliations

  1. Departmento de Matemática, Universidade Federal do Ceará, Campus do Pici, 60000, Fortaleza, CE, Brazil

    Sebastião Carneiro de Almeida

  2. IME-USP, Caixa Postal 20.570, 01451, São Paulo, SP, Brazil

    Fabiano Gustavo Braga Brito

Authors
  1. Sebastião Carneiro de Almeida
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  2. Fabiano Gustavo Braga Brito
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de Almeida, S.C., Brito, F.G.B. Minimal hypersurfaces ofS 4 with constant Gauss-Kronecker curvature. Math Z 195, 99–107 (1987). https://doi.org/10.1007/BF01161603

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  • DOI: https://doi.org/10.1007/BF01161603

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