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

Abstract

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

16 pages, no figures

References in corpus (1)

• Invariant characterization of Liouville metrics and polynomial integrals

Cited by in corpus (2)

• Orthogonal separation of variables for spaces of constant curvature
• On the Jordan-Chevalley decomposition problem for operator fields in small dimensions and Tempesta-Tondo conjecture