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An extension of Takahashi's theorem
Authors:Oscar J Garay
Institution:(1) Departamento de Geometría y Topología, Facultad de Ciencias, Universidad de Granada, Granada, Spain
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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