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Non-isometric Riemannian G-Manifolds with Equal Equivariant Spectra

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摘要 In this paper,the author examines the two methods that people used to systematically construct isospectral non-isometric Riemannian manifolds,the Sunada–Pesce–Sutton method and the torus action method,and shows that both methods can be used to produce equivariantly isospectral non-isometric Riemannian G-manifolds.The author also shows that the Milnor’s isospectral pair is not equivariantly isospectral.
作者 Yuguo Qin
出处 《Communications in Mathematics and Statistics》 SCIE 2019年第2期181-190,共10页 数学与统计通讯(英文)
基金 supported by the NSFC Grant No.11571331 “the Fundamental Research Funds for the Central Universities”.
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