TL;DR
This paper explores the geometric structures of the Lagrange top using Haantjes algebras, deriving coordinates that facilitate solving the Hamilton-Jacobi equation.
Contribution
It introduces Haantjes algebra frameworks for the Lagrange top and computes Darboux-Haantjes coordinates as separation variables.
Findings
Identification of symplectic-Haantjes and Poisson-Haantjes structures for the Lagrange top
Explicit computation of Darboux-Haantjes coordinates
Coordinates serve as separation variables for Hamilton-Jacobi equation
Abstract
A symplectic-Haantjes manifold and a Poisson-Haantjes manifold for the Lagrange top are studied and a set of Darboux-Haantjes coordinates are computed. Such coordinates are separation variables for the associated Hamilton-Jacobi equation.
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