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Bibliography

  1. C.C. Chen and F. Gackstatter;Elliptic and Hiperelliptic functions and complete minimal surfaces with handles, IME-USP, no 27, 1981.

  2. C.J. Costa;Complete minimal immersion in IR 3 of genus one and finite total curvature, Doctoral Thesis, IMPA, 1982.

  3. G.H. Halphen;Traité des functions elliptiques et de leurs applications. Paris, Gauthier-Villars, Imprimeur-Libraire, 1886.

    Google Scholar 

  4. B. Lawson;Lectures on minimal surfaces, Monografias de Matemática, vol. 14, IMPA, Rio de Janeiro.

  5. W.H. Meeks III and L.P.M. Jorge;The topology of complete minimal surfaces of finite total Gaussian curvature, Topology, 22 (1983), 203–221.

    Article  MATH  MathSciNet  Google Scholar 

  6. E.H. Neville;Elliptic Functions: A Primer Pergamon Press, First Edition, 1971.

  7. R. Ossermann;A survey of minimal surfaces, Van Nostrand Reinhold Company, 1969.

  8. J. Tannery and J. Molk;Éléments de la Théorie des fonctions elliptiques, Bronx, N.Y., Chelsea, 1972.

    MATH  Google Scholar 

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Costa, C.J. Example of a complete minimal immersion in IR3 of genus one and three-embedded ends. Bol. Soc. Bras. Mat 15, 47–54 (1984). https://doi.org/10.1007/BF02584707

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  • DOI: https://doi.org/10.1007/BF02584707

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