Complete embedded minimal surfaces of finite total curvature with planar ends of smallest possible order

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Abstract

Using a method by Traizet (J Differ Geom 60:103–153, 2002), which reduces the construction of minimal surfaces via the Weierstraß Theorem and the implicit function theorem to solving algebraic equations in several complex variables, we will show the existence of complete embedded minimal surfaces of finite total curvature with planar ends of least possible order.
Original languageEnglish
JournalMathematische Annalen
Volume346
Pages (from-to)85-105
ISSN0025-5831
Publication statusPublished - 2010
Externally publishedYes

Keywords

  • minimal surface
  • finite total curvature
  • planar ends

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