New characterizations of spheres, cylinders and W-curves |
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Authors: | Dong-Soo Kim |
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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 |
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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. |
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Keywords: | Primary: 53A10, 53B25 Secondary: 53C40 |
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