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Proceedings of the American Mathematical Society

ISSN 1088-6826(online) ISSN 0002-9939(print)

 
 

 

A characterization of the $ 2$-sphere by eigenfunctions


Author: Shiu Yuen Cheng
Journal: Proc. Amer. Math. Soc. 55 (1976), 379-381
MSC: Primary 53C45
DOI: https://doi.org/10.1090/S0002-9939-1976-0405296-4
MathSciNet review: 0405296
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Abstract: The spheres in $ 3{\text{ - dim}}$ Euclidean space are characterized by the fact that they have three 1st eigenfunctions with square sum equal to a constant.


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DOI: https://doi.org/10.1090/S0002-9939-1976-0405296-4
Keywords: Eigenfunctions, eigenvalues
Article copyright: © Copyright 1976 American Mathematical Society

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