An extension of Takahashi's theorem |
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Authors: | Oscar J Garay |
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Institution: | (1) Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, Granada, Spain |
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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.Partially supported by a CAICYT Grant PR84-1242-C02-02 Spain. |
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Keywords: | |
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