Geodesic
Quantum integrability for the Beltrami--Laplace operators of projectively equivalent metrics of arbitrary signatures
Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 275-289

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We generalize the result of [31] to all signatures.
Keywords: integrable systems, Killing tensors, quantum integrable systems, Carter quantisation, commutative operators, projectively equivalent metrics, geodesically equivalent metrics, separation of variables, normal forms, geometric theory of PDE, c-projectively equivalent metrics. 
@article{CHEB_2020_21_2_a19,
     author = {V. S. Matveev},
     title = {Quantum integrability for the {Beltrami--Laplace} operators of projectively equivalent metrics of arbitrary signatures},
     journal = {\v{C}eby\v{s}evskij sbornik},
     pages = {275--289},
     publisher = {mathdoc},
     volume = {21},
     number = {2},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CHEB_2020_21_2_a19/}
}
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V. S. Matveev. Quantum integrability for the Beltrami--Laplace operators of projectively equivalent metrics of arbitrary signatures. Čebyševskij sbornik, Tome 21 (2020) no. 2, pp. 275-289. http://geodesic.mathdoc.fr/item/CHEB_2020_21_2_a19/