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Ruled surfaces of finite type

  • Published:1990-12 Issue:3 Volume:42 Page:447-453
  • ISSN:0004-9727
  • Container-title:Bulletin of the Australian Mathematical Society
  • language:en
  • Short-container-title:Bull. Austral. Math. Soc.

Author:

Chen Bang-Yen,Dillen Franki,Verstraelen Leopold,Vrancken Luc

Abstract

We show that a ruled surface of finite type in a Euclidean space is a cylinder on a curve of finite type or a helicoid in Euclidean 3-space.

Publisher

Cambridge University Press (CUP)

Subject

General Mathematics

Reference9 articles.

1. Curves of finite type;Chen;Geometry and Topology of Submanifolds,1990

2. [8] Ferrández A. and Lucas P. , (personal communication).

3. Total Mean Curvature and Submanifolds of Finite Type

4. Surfaces of finite type and constant curvature in the 3-sphere;Chen;C.R. Math. Rep. Acad. Sci.,1990

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