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An imbedding of closedRiemann surfaces inEuclidean space

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Commentarii Mathematici Helvetici

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References

  1. L. Ahlfors,The complex analytic structure of the space of closed Riemann surfaces. Analytic Functions, Princeton University Press (1960), 45–66.

  2. L. Ahlfors,On quasiconformal mappings. J. d'Analyse Math.,3, no. 1 (1953/54).

  3. L. Bers,Quasiconformal mappings and Teichmüller'stheorem. Analytic Functions, Princeton University Press (1960), 89–119.

  4. L. Bers, Riemann surfaces. New York University Institute of Mathematical Sciences (mimeographed notes).

  5. L. Bers,Spaces of Riemann surfaces. Proceedings of the International Congress of Mathematicians 14–21 August, 1958. Cambridge University Press (1960), 349–361.

  6. L. Bers andL. Nirenberg,On a representation theorem for linear elliptic systems with discontinuous coefficients and its applications. Convegno Internazionale sulle Equazioni alle Derivate Parziali, Trieste, 1954. Edizione Cremonese, Roma (1955), 111–140.

    Google Scholar 

  7. A. Garsia,Calculation of the conformal parameters of some imbedded Riemann surfaces. Pacific J. Math.,10 (1960), 121–165.

    MATH  MathSciNet  Google Scholar 

  8. A. Garsia,Imbeddings of Riemann surfaces by canal surfaces (to appear).

  9. A. Garsia andE. Rodemich,An imbedding of Riemann surfaces of genus one (to appear in the Pacific J. Math.).

  10. T. Klotz,Imbedding compact Riemann surfaces in 3-space (to appear in the Pacific J. Math.).

  11. N. Kuiper,On C 1-isometric imbeddings, I. Nederl. Akad. Wetensch., Proc. Ser. A,58, no. 4, or Indag. Math., no. 4 (1955), 545–555.

    MathSciNet  Google Scholar 

  12. R. Ossermann, Riemann surfaces of class A, Trans. Amer. Math. Society,82 (1956), 217–245. See also:A hyperbolic surface in 3-space. Proc. Amer. Math. Soc.,7 (1956), 54–58.

    Article  Google Scholar 

  13. J. Nash,C 1-isometric imbeddings. Ann. of Math.,60 (1954), 383–395.

    Article  MathSciNet  Google Scholar 

  14. J. Nash,The imbedding problem of Riemann ian manifolds. Ann. of Math.,63 (1956), 20–63.

    Article  MathSciNet  Google Scholar 

  15. O. Teichmüller,Extremale quasikonforme Abbildungen und quadratische Differentiale. S.-B. Preuss. Akad. Wiss. Math.-Naturw. Kl.,22 (1940).

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  1. Minneapolis, Minnesota, (USA)

    Adriano M. Garsia

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  1. Adriano M. Garsia
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Garsia, A.M. An imbedding of closedRiemann surfaces inEuclidean space. Commentarii Mathematici Helvetici 35, 93–110 (1961). https://doi.org/10.1007/BF02567009

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  • DOI: https://doi.org/10.1007/BF02567009

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