The Chen-Type of the Spiral Surfaces |
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Authors: | Christos Baikoussis Leopold Verstraelen |
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Institution: | 1. Department of Mathematics, University of Ioannina, Ioannina, 45110, Greece 2. Departement Wiskunde, Celestijnenlaan 200 B, 3001, Heverlee, Belgium
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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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