Geometriae Dedicata

, Volume 42, Issue 3, pp 311–315 | Cite as

Surfaces which contain helical geodesics

  • Michiko Tamura


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.


Smooth Surface Circular Cylinder Complete Smooth Surface 
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Copyright information

© Kluwer Academic Publishers 1992

Authors and Affiliations

  • Michiko Tamura
    • 1
  1. 1.Department of MathematicsTokyo Gakugei UniversityTokyoJapan

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