When a $(1,1)$-tensor generates separation of variables of a certain metric
Differential Geometry
2023-12-06 v1 Mathematical Physics
Analysis of PDEs
Dynamical Systems
math.MP
Exactly Solvable and Integrable Systems
Abstract
By a -tensor field , we construct an explicit system of differential invariants that vanish if and only if there (locally) exists a metric for which generates separation of variables.
Cite
@article{arxiv.2307.15564,
title = {When a $(1,1)$-tensor generates separation of variables of a certain metric},
author = {Andrey Yu. Konyaev and Jonathan M. Kress and Vladimir S. Matveev},
journal= {arXiv preprint arXiv:2307.15564},
year = {2023}
}
Comments
16 pages, no figures