Work

On tensor invariants for integrable cases of Euler, Lagrange and Kovalevskaya rigid body motion

Year: 2025

Type: article

Abstract: We discuss global tensor invariants of a rigid body motion in the cases of Euler, Lagrange and Kovalevskaya. These invariants are obtained by substituting tensor fields with components cubic in the variables into the invariance equation and solving the resulting algebraic equations using computer algebra systems.

Source: Izvestiya Mathematics

DOI: 10.4213/im9618e

Author: Andrey Vladimirovich Tsiganov

Institution: St Petersburg University

Language: English

Topic: Advanced Differential Equations and Dynamical Systems

Subfield: Geometry and Topology

Field: Mathematics

Domain: Physical Sciences

Open Access status: bronze

Funders: Ministry of Education and Science of the Russian Federation, Ministry of Science and Higher Education of the Russian Federation

Award: G4916193052