Surfaces which contain helical geodesics |
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Authors: | Michiko Tamura |
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Institution: | (1) Department of Mathematics, Tokyo Gakugei University, Nukuikita-Machi 4-1-1, Koganei-shi, 184 Tokyo, Japan |
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Abstract: | LetM be a complete smooth surface of constant mean curvature in the Euclidean 3-space. If there exists two helical geodesics onM through each point ofM, thenM is either a plane, a sphere, or a circular cylinder. |
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