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On the structure of complete simply connected embedded minimal surfaces

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Publication:1312627
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DOI10.1007/BF02921290zbMath0796.53007MaRDI QIDQ1312627

Frederico Xavier

Publication date: 26 September 1994

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)


zbMATH Keywords

deformationWeierstrass representationhelicoidself-intersections


Mathematics Subject Classification ID

Minimal surfaces in differential geometry, surfaces with prescribed mean curvature (53A10)




Cites Work

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  • Convex hulls of complete minimal surfaces
  • A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends
  • An inequality between the exterior diameter and the mean curvature of bounded immersions
  • The geometry of periodic minimal surfaces
  • On embedded complete minimal surfaces of genus zero
  • A General Schwarz Lemma for Kahler Manifolds
  • Example of a complete minimal immersion in IR3 of genus one and three-embedded ends
  • Embedded minimal surfaces of finite topology


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