Euclidean versus Non-Euclidean Aspects in Spectral Geometry

Toshikazu Sunada

Type: Article

Publication Date: 2013-05-16

Citations: 2

DOI: https://doi.org/10.1143/ptp.116.235

Abstract

The aim of this note is to give a survey of recent studies on spectral geometry. In the course of discussion, we put an emphasis on relationships between discrete group actions and the spectra of the Laplacian and magnetic Schrödinger operators on a non-compact Riemannian manifold. We employ typical models of geometry, the Euclidean plane and the non-Euclidean plane, to illustrate how group structures influence the spectra.

Locations

Progress of Theoretical Physics Supplement - View - PDF

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+ PDF Chat	Equation de Schrödinger avec champ magnétique et équation de Harper	1989	Bernard Helffer Johannes Sjöstrand
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