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EXISTENCE OF MINIMAL SURFACES WITH PLANAR ENDS  

Jin, Sun-Sook (Department of Mathematics Education, Gongju National University of Education)
Publication Information
The Pure and Applied Mathematics / v.17, no.4, 2010 , pp. 299-306 More about this Journal
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;
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  • Reference
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