Quantum integrability for the Beltrami-Laplace operators of projectively equivalent metrics of arbitrary signatures

zbMath1459.53049arXiv1906.06757MaRDI QIDQ4965847

Vladimir S. Matveev

Publication date: 10 March 2021

Full work available at URL: https://arxiv.org/abs/1906.06757

zbMATH Keywords

integrable systemsnormal formsseparation of variablesquantum integrable systemsKilling tensorsprojectively equivalent metricsgeodesically equivalent metricsc-projectively equivalent metricscommutative operatorsCarter quantisationgeometric theory of PDE

Mathematics Subject Classification ID

Geodesics in global differential geometry (53C22) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Projective connections (53B10)

Related Items (2)

Geodesic flows of c-projectively equivalent metrics are quantum integrable ⋮ Equivalent integrable metrics on the sphere with quartic invariants

Cites Work

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