Movatterモバイル変換


[0]ホーム

URL:


Skip to main content
Springer Nature Link
Log in

An imbedding of closedRiemann surfaces inEuclidean space

  • Published:
Commentarii Mathematici Helvetici

This is a preview of subscription content,log in via an institution to check access.

Access this article

Log in via an institution

References

  1. L. Ahlfors,The complex analytic structure of the space of closedRiemannsurfaces. 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 andTeichmüller'stheorem. Analytic Functions, Princeton University Press (1960), 89–119.

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

  5. L. Bers,Spaces ofRiemannsurfaces. 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 imbeddedRiemannsurfaces. Pacific J. Math.,10 (1960), 121–165.

    MATH MathSciNet  Google Scholar 

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

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

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

  11. N. Kuiper,On C1-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, Riemannsurfaces 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,C1-isometric imbeddings. Ann. of Math.,60 (1954), 383–395.

    Article MathSciNet  Google Scholar 

  14. J. Nash,The imbedding problem ofRiemannian 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).

Download references

Author information

Authors and Affiliations

  1. Minneapolis, Minnesota, (USA)

    Adriano M. Garsia

Authors
  1. Adriano M. Garsia

Rights and permissions

About this article

Access this article

Advertisement


[8]ページ先頭

©2009-2026 Movatter.jp