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On a differential inequality and its applications to geometry

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References

  1. Alexandrov, A.D.: Die innere Geometrie der konvexen Flächen. Berlin: Akademie-Verlag 1955

    Google Scholar 

  2. Bol, G.: Isoperimetrische Ungleichungen für Bereiche auf Flächen. J.-ber. Deutsch. Math.-Verein.51, 219–257 (1941)

    Google Scholar 

  3. Fiala, F.: Le problème des isopérimètres sur les surfaces ouvertes à courbure positive. Commentarii math. Helvet.13, 293–346 (1940–41)

    Google Scholar 

  4. Gelfand, I.M.: Some Problems in the Theory of Quasi-linear Equations. Amer. math. Soc., Translat., II. Ser.29, 295–381 (1963)

    Google Scholar 

  5. Hadwiger, H.: Vorlesungen über Inhalt, Oberfläche und Isoperimetrie. Berlin-Heidelberg-New York: Springer 1975

    Google Scholar 

  6. Hartman, P.: Geodesic Parallel Coordinates in the Large. Amer. J. Math.86, 705–727 (1964)

    Google Scholar 

  7. Huber, A.: Zur isoperimetrischen Ungleichung auf gekrümmten Flächen. Acta math.97, 95–101 (1957)

    Google Scholar 

  8. Huber, A.: Zum Isoperimeterproblem auf vollständigen Flächen mit summierbarer Gausscher Krümmung. Arch. rat. Mech. Analysis24, 173–192 (1967)

    Google Scholar 

  9. Pólya, G., Szegö, G.: Isoperimetric Inequalities in Mathematical Physics. Annals of Mathematics Studies27. Princeton: Princeton University Press 1951

    Google Scholar 

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Bandle, C. On a differential inequality and its applications to geometry. Math Z 147, 253–261 (1976). https://doi.org/10.1007/BF01214083

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