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  • P-ISSN1226-0657
  • E-ISSN2287-6081
  • KCI

ISSN : 1226-0657

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Vol.17 No.4

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EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS

Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics / Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, (P)1226-0657; (E)2287-6081
2010, v.17 no.4, pp.299-306
Jin, Sun-Sook
Jin,, S. (2010). EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS. Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics, 17(4), 299-306.

Abstract

In this article we consider axes of a complete embedded minimal surface in <TEX>$R^3$</TEX> of finite total curvature, and then prove that there is no planar ends at which the Gauss map have the minimum branching order if the minimal surface has a single axis.

keywords
minimal surfaces, axis, flux, torque

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Journal of the Korean Society of Mathematical Education Series B: The Pure and Applied Mathematics

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