EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS

  • Jin, Sun-Sook
  • Received : 2010.04.09
  • Accepted : 2010.11.21
  • Published : 2010.11.30

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

minimal surfaces;axis;flux;torque

References

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