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The Chen-Type of the Spiral Surfaces

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Abstract

We show that a spiral surface M in E3 is of finite type if and only if M is minimal Also, the plane is the only spiral surface in E3 whose the Gauss map G is of finite type, or satisfies the condition ΔG = ΛG, where Λ ∈ R3×3.

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Authors and Affiliations

  1. Department of Mathematics, University of Ioannina, Ioannina, 45110, Greece

    Christos Baikoussis

  2. Departement Wiskunde, Celestijnenlaan 200 B, 3001, Heverlee, Belgium

    Leopold Verstraelen

Authors
  1. Christos Baikoussis
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  2. Leopold Verstraelen
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Correspondence to Christos Baikoussis.

Additional information

Supported by GADGET 2 No. CHRX-CT92-0050

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Baikoussis, C., Verstraelen, L. The Chen-Type of the Spiral Surfaces. Results. Math. 28, 214–223 (1995). https://doi.org/10.1007/BF03322254

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