Scientific publications
2026Journal articleEnglishOpen access
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Scientific publications
Prosper Rosaire Mama Assandje
Romain Nimpa Pefoukeu
Salomon Joseph Mbatakou
Journal of Geometry and Symmetry in Physics
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).