Author:
Cornelissen Gunther,Peyerimhoff Norbert
Abstract
AbstractThe chapter contains an overview of the main new results in the book: a spectral characterisation of covering equivalence of Riemannian manifolds using spectra of finitely many twisted Laplacians, a more detailed version for non-arithmetic Riemann surfaces, a version using the length spectrum. It also contains a spectral characterisation of weak conjugacy. The chapter contains pointers forward to other chapters that contain an exposition of the basic tools and methods, as well as detailed constructions, proofs and examples.
Publisher
Springer International Publishing
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