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The stability and the Gauss map of minimal surfaces in ℝ3

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Book cover Differential Geometry of Submanifolds

Part of the book series: Lecture Notes in Mathematics ((LNM,volume 1090))

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References

  1. J.L. Barbosa and M. do Carmo, On the size of a stable minimal surface in IR3, Amer. J. Math., 98 (1976), 515–528.

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  2. M. Beeson, Some results on finiteness in Plateau’s problem, Part I, Math. Z., 175 (1980), 103–123.

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  3. R.C. Gunning, Lectures on Riemann surfaces, Princeton Math. Notes, Princeton Univ. Press, Princeton, 1966.

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  4. J.C.C. Nitsche, Vorlesungen über Minimalflächen, Springer, Berlin-Heiderberg-New York, 1975.

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  5. J. Peetre, A generalization of Courant’s nodal domain theorem, Math. Scand., 5 (1957), 15–20.

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Authors and Affiliations

  1. Department of Mathematics, Osaka University, 560, Toyonaka, Osaka, Japan

    Miyuki Koiso

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  1. Miyuki Koiso
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K. Kenmotsu

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© 1984 Springer-Verlag

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Koiso, M. (1984). The stability and the Gauss map of minimal surfaces in ℝ3 . In: Kenmotsu, K. (eds) Differential Geometry of Submanifolds. Lecture Notes in Mathematics, vol 1090. Springer, Berlin, Heidelberg. https://doi.org/10.1007/BFb0101568

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  • DOI: https://doi.org/10.1007/BFb0101568

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-13873-0

  • Online ISBN: 978-3-540-39065-7

  • eBook Packages: Springer Book Archive

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