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An extension of Khrapchenko's theorem

โœ Scribed by Uri Zwick


Book ID
107765984
Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
391 KB
Volume
37
Category
Article
ISSN
0020-0190

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A classical result ofT. Takahashi [8] is generalized to the case of hypersurfaces in the Euclidean space E ~' . More concretely, we classify Euclidean hypersurfaces whose coordinate functions in E" are eigenfunctions of their Laplacian.