Abstract
A submanifold of a Euclidean space is called a coordinate finite-type submanifold if its coordinate functions are eigenfunctions of Δ. We prove that the compact coordinate finite-type submanifolds are minimal submanifolds of quadratic hypersurfaces of Euclidean spaces. Moreover, we classify the compact coordinate finite-type submanifolds of codimension 2.
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Hasanis, T., Vlachos, T. Coordinate finite-type submanifolds. Geom Dedicata 37, 155–165 (1991). https://doi.org/10.1007/BF00147411
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DOI: https://doi.org/10.1007/BF00147411