Souriau-Fisher Metric and Completely Integrable System on Lie Groups SO(2) and SO(3)

Journal of Geometry and Symmetry in Physics 2026 Open access

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Authors: Prosper Rosaire Mama Assandje, Michel Bertrand Djiadeu Ngaha, Romain Nimpa Pefoukeu, Salomon Joseph Mbatakou
DOI: 10.7546/jgsp-76-2026-1-23
Cited by: 0

Abstract

We study the generalize Fisher metric on SO(2) and SO(3) via the thermodynamics Lie group theories of Souriau. Then we give the effect of 2-cocycle on the integrability of gradient systems due to the Fisher metric and Souriau-Fisher metric. In addition, we show how the cocycle can locally modify the Fisher metric on a coadjoint orbit, in explicit terms of brackets and central extensions on the Lie groups SO(2) and SO(3).

Fields of Study & Subjects

Nonlinear Waves and Solitons Advanced Differential Equations and Dynamical Systems Quantum chaos and dynamical systems

Publication details

Journal / source
Journal of Geometry and Symmetry in Physics
Publisher
Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)
Volume
76
Pages
1–23
Publication date
1 January 2026
Language
EN