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.
基金
supported by the NSFC Grant No.11571331
“the Fundamental Research Funds for the Central Universities”.