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• W2950294967 abstract "We investigate spectral properties of the Laplace operator on a class of non-compact Riemannian manifolds. For a given number $N$ we construct periodic (i.e. covering) manifolds such that the essential spectrum of the corresponding Laplacian has at least $N$ open gaps. We use two different methods. First, we construct a periodic manifold starting from an infinite number of copies of a compact manifold, connected by small cylinders. In the second construction we begin with a periodic manifold which will be conformally deformed. In both constructions, a decoupling of the different period cells is responsible for the gaps." @default.
• W2950294967 created "2019-06-27" @default.
• W2950294967 creator A5040489739 @default.
• W2950294967 date "2002-07-14" @default.
• W2950294967 modified "2023-09-27" @default.
• W2950294967 title "Periodic Manifolds with Spectral Gaps" @default.
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• W2950294967 hasPublicationYear "2002" @default.
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