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Translation Surfaces of Weingarten Type in 3-Space

Author

Listed:
  • Dillen, Franki

    () (Katholieke Universiteit Leuven, Belgium)

  • Goemans, Wendy

    () (Hogeschool-Universiteit Brussel (HUB), Belgium)

  • Van de Woestyne, Ignace

    () (Hogeschool-Universiteit Brussel (HUB), Belgium)

Abstract

In this paper, we derive a classification of translation surfaces in the 3-dimensional Euclidean and Minkowski space, satisfying the Weingarten condition. Even though the family of translation surfaces is one of the simplest to consider, obtaining this classification is far from trivial and requires the use of a computer algebra system.

Suggested Citation

  • Dillen, Franki & Goemans, Wendy & Van de Woestyne, Ignace, 2008. "Translation Surfaces of Weingarten Type in 3-Space," Working Papers 2008/63, Hogeschool-Universiteit Brussel, Faculteit Economie en Management.
  • Handle: RePEc:hub:wpecon:200863
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    File URL: http://lirias.hubrussel.be/handle/123456789/2251
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