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

Author:

Andrey Yu. Konyaev, Jonathan M. Kress, Vladimir S. Matveev

Keyword:

Mathematics, Differential Geometry, Differential Geometry (math.DG), Mathematical Physics (math-ph), Analysis of PDEs (math.AP), Dynamical Systems (math.DS), Exactly Solvable and Integrable Systems (nlin.SI)

journal:

date:

2023-07-27 16:00:00

Abstract

By a $(1,1)$-tensor field $K= K^i_j$, 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.

PDF: When a $(1,1)$-tensor generates separation of variables of a certain metric.pdf