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An extension of Newton's apsidal precession theorem

โœ Scribed by S. R. Valluri; P. Yu; G. E. Smith; P. A. Wiegert


Book ID
110838478
Publisher
John Wiley and Sons
Year
2005
Tongue
English
Weight
243 KB
Volume
358
Category
Article
ISSN
0035-8711

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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.