On integrable systems outside Nijenhuis and Haantjes geometry

Abstract

We study non-invariant Killing tensors with non-zero Nijenhuis torsion in the three-dimensional Euclidean space. Generalizing the corresponding integrable systems we construct two new families of superintegrable systems in $n$-dimensional Euclidean space.

LaTeX with AMS fonts, 10 pages, added construction of two families of superintegrable systems

References in corpus (1)

• Invariant classification of orthogonally separable Hamiltonian systems in Euclidean space

Cited by in corpus (1)

• Second order Killing tensors related to symmetric spaces