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On a class of conformal metrics, with application to differential geometry in the large

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Commentarii Mathematici Helvetici

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References

  1. H. Hopf andW. Rinow:Über den Begriff der vollständigen differentialgeometrischen Fläche. Comment. Math. Helv.3, 209–225 (1931).

    Article  MathSciNet  Google Scholar 

  2. S. Cohn-Vossen:Kürzeste Wege und Totalkrümmung auf Flächen. Compositio Math.2, 69–133 (1935).

    Google Scholar 

  3. A. Huber:On subharmonic functions and differential geometry in the large. Comment. Math. Helv.32, 13–72 (1957).

    Article  MathSciNet  Google Scholar 

  4. A. Huber:On the isoperimetric inequality on surfaces of variable Gaussian curvature. Ann. Math.60, 237–247 (1954).

    Article  MathSciNet  Google Scholar 

  5. Ju. G. Rešetnjak:Isothermal coordinates on manifolds of bounded curvature, I, II (Russian) Sibirsk. Mat. ž.1, 88–116 (1960).

    MathSciNet  Google Scholar 

  6. B. v. Kerékjártó:Vorlesungen über Topologie I. Springer, Berlin 1923.

    MATH  Google Scholar 

  7. R. Osserman:Global properties of minimal surfaces in E 3 and E n . Annals of Math.80, 340–364 (1964).

    Article  MathSciNet  Google Scholar 

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To Charles Loewner, on the occasion of his seventieth birthday, and in token of my esteem.

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Finn, R. On a class of conformal metrics, with application to differential geometry in the large. Commentarii Mathematici Helvetici 40, 1–30 (1965). https://doi.org/10.1007/BF02564362

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  • DOI: https://doi.org/10.1007/BF02564362

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