Saved in:
| Main Authors: | , , , |
|---|---|
| Format: | Preprint |
| Published: |
2025
|
| Subjects: | |
| Online Access: | https://arxiv.org/abs/2509.20910 |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866911391069241344 |
|---|---|
| author | Assandje, Prosper Rosaire Mama Ngaha, Michel Bertrand Djiadeu Pefoukeu, Romain Nimpa Mbatakou, Salomon Joseph |
| author_facet | Assandje, Prosper Rosaire Mama Ngaha, Michel Bertrand Djiadeu Pefoukeu, Romain Nimpa Mbatakou, Salomon Joseph |
| contents | 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). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_20910 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Souriau-Fisher metric and Completely integrable system on Lie groups SO(2) and SO(3) Assandje, Prosper Rosaire Mama Ngaha, Michel Bertrand Djiadeu Pefoukeu, Romain Nimpa Mbatakou, Salomon Joseph Differential Geometry 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). |
| title | Souriau-Fisher metric and Completely integrable system on Lie groups SO(2) and SO(3) |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2509.20910 |