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On the existence of complete bounded minimal surfaces in ℝn

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Boletim da Sociedade Brasileira de Matemática - Bulletin/Brazilian Mathematical Society Aims and scope Submit manuscript

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References

  1. K. Hoffman,Banach Spaces of Analytic Functions, Prentice-Hall, Inc. Englewood Cliffs, N. J. (1962).

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  2. W. Meeks III,Lectures on Plateau's Problem, II Escola de Geometria Differencial, held in the Universidade Federal do Ceará, Brasil (1978).

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Authors and Affiliations

  1. Centro de Ciências Exatas Departamento de Matemática, UFCE, Campus do Pici, 60.000, Fortaleza, CE, Brasil

    Luquesio P. de M. Jorge

  2. Inst. de Matemática, UFPE, Cidade Universitária, 50.000, Recife, PE, Brasil

    Frederico Xavier

Authors
  1. Luquesio P. de M. Jorge
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  2. Frederico Xavier
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Additional information

Supported by UFC and FINEP

Supported by FINEP, CNPq and UFPE

After This paper was submitted, our attention was called to the paper “The Exterior diameter of an immersed Remannian manifold”, by Ju. A. Aminov, Math. USSR Sbornik, vol. 2.1 (1973) 449–454, which contains, with a different proof, a weaker form of our theorem.

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Jorge, L.P.d.M., Xavier, F. On the existence of complete bounded minimal surfaces in ℝn . Bol. Soc. Bras. Mat 10, 171–173 (1979). https://doi.org/10.1007/BF02584635

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  • DOI: https://doi.org/10.1007/BF02584635

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