The Pure and Applied Mathematics (한국수학교육학회지시리즈B:순수및응용수학)

Korean Society of Mathematical Education (한국수학교육학회)
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EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS

  • Jin, Sun-Sook (Department of Mathematics Education, Gongju National University of Education)
  • Received : 2010.04.09
  • Accepted : 2010.11.21
  • Published : 2010.11.30
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Abstract

In this article we consider axes of a complete embedded minimal surface in $R^3$ 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

References

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