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Proceedings of the American Mathematical Society

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

 

 

Characterizing $ S\sp m$ by the spectrum of the Laplacian on $ 2$-forms


Authors: S. I. Goldberg and H. Gauchman
Journal: Proc. Amer. Math. Soc. 99 (1987), 750-756
MSC: Primary 58G25; Secondary 53C25
DOI: https://doi.org/10.1090/S0002-9939-1987-0877051-X
MathSciNet review: 877051
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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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DOI: https://doi.org/10.1090/S0002-9939-1987-0877051-X
Keywords: Spectrum of the Laplacian, contact Riemannian manifold
Article copyright: © Copyright 1987 American Mathematical Society