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- W39207448 abstract "Two Riemannian manifolds are said to be isospectral if the associated Laplace-Beltrami operators have the same spectrum. Riemannian nilmanifolds have provided a rich source of examples of isospectral manifolds, exhibiting a wide variety of different phenomena. In particular, there exist continuous families of isospectral, nonisometric nil-manifolds, isospectral nilmanifolds for which the Laplacians acting on one-forms are not isospectral, and isospectral nilmanifolds that are not even locally isometric. This article reviews three different methods for constructing isospectral nilmanifolds and examines the geometry of resulting examples." @default.
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- W39207448 date "1997-01-01" @default.
- W39207448 modified "2023-10-18" @default.
- W39207448 title "Spectral Geometry on Nilmanifolds" @default.
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- W39207448 doi "https://doi.org/10.1007/978-3-0348-8938-4_3" @default.
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