Abstract
A classical result of T. Takahashi [8] is generalized to the case of hypersurfaces in the Euclidean space E m. More concretely, we classify Euclidean hypersurfaces whose coordinate functions in E m are eigenfunctions of their Laplacian.
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Partially supported by a CAICYT Grant PR84-1242-C02-02 Spain.
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Garay, O.J. An extension of Takahashi's theorem. Geom Dedicata 34, 105–112 (1990). https://doi.org/10.1007/BF00147319
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DOI: https://doi.org/10.1007/BF00147319