When a (1,1)-tensor generates separation of variables of a certain metric

By a (1,1)-tensor field K=Kji, we construct an explicit system of differential invariants that vanish if and only if there (locally) exists a metric for which K generates separation of variables.

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Bibliographic Details
Published in:Journal of geometry and physics 2024-01, Vol.195, p.105031, Article 105031
Main Authors: Konyaev, Andrey Yu, Kress, Jonathan M., Matveev, Vladimir S.
Format: Article
Language:English
Subjects:
Differential invariants
Killing tensor
Nijenhuis bracket
Nijenhuis operator
Nijenhuis torsion
Separation of variables
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Description
Summary:By a (1,1)-tensor field K=Kji, we construct an explicit system of differential invariants that vanish if and only if there (locally) exists a metric for which K generates separation of variables.
ISSN:0393-0440
1879-1662
DOI:10.1016/j.geomphys.2023.105031