TORQUES AND RIEMANN'S MINIMAL SURFACES

  • Jin, Sun Sook (Department of Mathematics Education Gongju National University of Education)
  • Received : 2006.06.30
  • Published : 2006.09.30

Abstract

In this article, we prove that a properly embedded minimal surface in $R^3$ of genus zero must be one of Riemann's minimal examples if outside of a solid cylinder it is the union of planar ends with the same torques at all integer heights.

Keywords