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About a family of deformations of the Costa-Hoffman-Meeks surfaces

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Publication:734082
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DOI10.1007/s00574-009-0020-1zbMath1188.53016OpenAlexW2021351474WikidataQ125028646 ScholiaQ125028646MaRDI QIDQ734082

Filippo Morabito

Publication date: 19 October 2009

Published in: Bulletin of the Brazilian Mathematical Society. New Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00574-009-0020-1


zbMATH Keywords

deformationJacobi operatorCosta-Hoffman-Meeks surface


Mathematics Subject Classification ID

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


Related Items (1)

A family of genus one minimal surfaces with two catenoid ends and one Enneper end



Cites Work

  • Unnamed Item
  • Unnamed Item
  • A complete embedded minimal surface in \({\mathbb{R}}^ 3\) with genus one and three ends
  • Morse index and Gauss maps of complete minimal surfaces in Euclidean 3- space
  • Higher genus Riemann minimal surfaces
  • Index and nullity of the Gauss map of the Costa-Hoffman-Meeks surfaces
  • The space of properly embedded minimal surfaces and their Fourier transforms
  • 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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