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- W1973855746 abstract "The study of Euclidean submanifolds with finite type classical Gauss map was initiated by B.-Y. Chen and P. Piccinni in [11]. On the other hand, it was believed that for spherical sub manifolds the concept of spherical Gauss map is more relevant than the classical one (see [20]). Thus the purpose of this article is to initiate the study of spherical submanifolds with finite type spherical Gauss map. We obtain several fundamental results in this respect. In particular, spherical submanifolds with 1-type spherical Gauss map are classified. From which we conclude that all isoparametric hypersurfaces of <TEX>$S^{n+1}$</TEX> have 1-type spherical Gauss map. Among others, we also prove that Veronese surface and equilateral minimal torus are the only minimal spherical surfaces with 2-type spherical Gauss map." @default.
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- W1973855746 date "2007-03-31" @default.
- W1973855746 modified "2023-09-24" @default.
- W1973855746 title "SPHERICAL SUBMANIFOLDS WITH FINITE TYPE SPHERICAL GAUSS MAP" @default.
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- W1973855746 doi "https://doi.org/10.4134/jkms.2007.44.2.407" @default.
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