Surfaces which contain inclined curves as geodesics

et M be a complete differentiable surface in E3 whose one of the principal curvature is identically constant. If M has a geodesic y on itself such that y makes a fixed angle with One of the parameter curves of M. then M is either a plane, a sphere, or a circular cylinder.

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  • Ankara Üniversitesi Communications, Series A1:Mathematics and Statistics