A surface which contains planar geodesics (Q1104556)

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scientific article; zbMATH DE number 4056446
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English
A surface which contains planar geodesics
scientific article; zbMATH DE number 4056446

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    A surface which contains planar geodesics (English)
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    1988
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    Parts of round spheres or planes in 3-space are characterized by the following properties: 1) Through each point of the surface there pass at least four planar geodesics. 2) Through each point there pass at least two planar geodesics with nonvanishing (spatial) curvature (sphere). 3) The surface contains two families of lines intersecting at a constant angle (plane).
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    spheres
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    planes
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    surface
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    planar geodesics
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