Geodesic Chord Property and Hypersurfaces of Space Forms
In the Euclidean space E n , hyperplanes, hyperspheres and hypercylinders are the only isoparametric hypersurfaces. These hypersurfaces are also the only ones with chord property, that is, the chord connecting two points on them meets the hypersurfaces at the same angle at the two points. In this paper, we investigate hypersurfaces in nonflat space forms with the so-called geodesic chord property and classify such hypersurfaces completely.
2020 ◽
Vol 36
(9)
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pp. 1049-1060
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2003 ◽
Vol 355
(12)
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pp. 4847-4863
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2002 ◽
Vol 45
(3)
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pp. 579-587
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Keyword(s):
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