Weierstrass-type representation of weakly regular pseudospherical surfaces in euclidean space

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Abstract

In [To], the author presented a method of constructing all weakly regular pseudospherical surfaces corresponding to given Weierstrass-type data. While the construction itself will appear later as a separate publication, this report contains a complete and detailed description of the Weierstrass representation for weakly regular surfaces with K = -1, in terms of moving frames and loop groups.

Original languageEnglish
Pages (from-to)87-136
Number of pages50
JournalBalkan Journal of Geometry and its Applications
Volume7
Issue number2
StatePublished - Dec 1 2002

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Keywords

  • Loop groups
  • Moving frames
  • Pseudospherical surfaces

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