Laplace-Beltrami operators on noncommutative tori

DOI10.1016/j.geomphys.2019.103594zbMath1437.53026arXiv1905.09048OpenAlexW2946031766WikidataQ126435551 ScholiaQ126435551MaRDI QIDQ2173824

Raphaël Ponge, Hyunsu Ha

Publication date: 17 April 2020

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1905.09048

zbMATH Keywords

Laplace-Beltrami operatornoncommutative toriRiemannian metrics

Mathematics Subject Classification ID

Noncommutative differential geometry (46L87) Applications of differential geometry to physics (53Z05) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (7)

A noncommutative Tauberian theorem and Weyl asymptotics in noncommutative geometry ⋮ Levi-Civita connections from toral actions ⋮ Functional calculus for elliptic operators on noncommutative tori. I ⋮ Connes’s trace theorem for curved noncommutative tori: Application to scalar curvature ⋮ Pseudodifferential calculus on noncommutative tori, I. Oscillating integrals ⋮ Pseudodifferential calculus on noncommutative tori, II. Main properties ⋮ Dixmier trace formulas and negative eigenvalues of Schrödinger operators on curved noncommutative tori

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