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A characterization of the 2-sphere by eigenfunctions

Shiu Yuen Cheng

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Source: Crossref

Published: Mar 1, 1976

DOI: 10.1090/s0002-9939-1976-0405296-4

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Source abstract

The spheres in 3 - dim 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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A characterization of the 2-sphere by eigenfunctions — Mathematical Frontier Network