Characterizing 𝑆^{𝑚} by the spectrum of the Laplacian on 2-forms

Goldberg, S. I.; Gauchman, H.

doi:10.1090/S0002-9939-1987-0877051-X

Characterizing $S^ m$ by the spectrum of the Laplacian on $2$-forms
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by S. I. Goldberg and H. Gauchman PDF

Proc. Amer. Math. Soc. 99 (1987), 750-756 Request permission

Abstract:

The Euclidean sphere ${S^{2n + 1}}$ is characterized by the spectrum of the Laplacian on $2$-forms in all dimensions.

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