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New characterizations of spheres, cylinders and W-curves
Authors:Dong-Soo Kim
Affiliation:a Department of Mathematics, Chonnam National University, Kwangju 500-757, Republic of Korea
b Department of Mathematics, Kyungpook National University, Taegu 702-701, Republic of Korea
Abstract:We study hypersurfaces (curves, resp.) of Euclidean space of arbitrary dimension such that the chord joining any two points on the hypersurface (curve, resp.) meets it at the same angle.
Keywords:Primary: 53A10, 53B25   Secondary: 53C40
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