Harmonic Gauss maps of submanifolds of arbitrary codimension of the Euclidean space and sphere and some applications
classification
🧮 math.DG
keywords
somespheresubmanifoldsapplicationseuclideanexistencegaussharmonic
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It is proved some results about existence and non existence of unit normal sections of submanifolds of the Euclidean space and sphere which associated Gauss maps are harmonic. Some applications to CMC hypersurfaces of the sphere and isoparametric submanifolds are obtained too.
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