arXiv subjects

Serena Scapucci

Publications and source records attributed to Serena Scapucci.

2 recordsLinked to original sources

arXiv2024

On Haantjes tensors for second-order superintegrable systems

The vanishing of the Haantjes tensor is an important property that has been linked, for instance, to the existence of separation coordinates and the integrability of systems of hydrodynamic type. We discuss the vanishing of the Haantjes tensor for operator fields that admit a large number of so-called conservation laws. In particular, we investigate Haantjes-zero Killing tensor fields that are associated with second-order superintegrable systems.

math-ph↗

arXiv2024

Classification of differentially non-degenerate left-symmetric algebras in dimension 3

In terms of Nijenhuis geometry, left-symmetric algebras are the same as Nijenhuis operators whose entries are linear in coordinates. Here we consider Nijenhuis operators for which the coefficients of its characteristic polynomial are algebraically independent. We give a classification of this type of operators and hence of the corresponding LSAs (which we will call differentially non-degenerate LSA) in dimension 3.

math.DG↗