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Curvature estimates for minimal surfaces


Author: Sook Heui Jun
Journal: Proc. Amer. Math. Soc. 114 (1992), 527-533
MSC: Primary 53A10
DOI: https://doi.org/10.1090/S0002-9939-1992-1091183-7
MathSciNet review: 1091183
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Abstract: In this article, we estimate the Gaussian curvature of nonparametric minimal surfaces by using the properties of univalent harmonic mappings.


References [Enhancements On Off] (What's this?)

  • [1] Lipman Bers, Isolated singularities of minimal surfaces, Ann. Math. 53 (1951), 364-386. MR 0043335 (13:244c)
  • [2] W. Hengartner and G. Schober, Curvature estimates for some minimal surfaces, Complex Analysis, Articles Dedicated to Albert Pfluger on the Occasion of His 80th Birthday (J. Hersch and A. Huber, eds.), Birkhäuser, 1988, pp. 87-100. MR 981404 (90a:53012)
  • [3] -, Univalent harmonic functions, Trans. Amer. Math. Soc. 299 (1987), 1-31. MR 869396 (88e:30030)
  • [4] R. Osserman, A survey of minimal surfaces, Dover, 1986. MR 852409 (87j:53012)

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DOI: https://doi.org/10.1090/S0002-9939-1992-1091183-7
Article copyright: © Copyright 1992 American Mathematical Society

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