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.

中文翻译：

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等距变谱的非等距黎曼G-流形

在本文中，作者研究了人们用于系统地构建等谱非等距黎曼流形的两种方法，即Sunada–Pesce–Sutton方法和环面作用方法，并表明这两种方法均可用于产生等变等谱非等距流。等距黎曼G流形。作者还表明，Milnor的等光谱对不是等变的等光谱。