✳flâneur — a map of the web's best reading

Koszul lecture related to geometric and analytic mechanics, Souriau’s Lie group thermodynamics and information geometry | SpringerLink

link.springer.com · 253 words · saved by 1 readers

This paper deals with Jean-Louis Koszul’s works related to Geometric and Analytic Mechanics, and to Souriau’s Lie Group Thermodynamics that have appeared over time as elementary structures of Information Geometry. The 2nd Koszul form has been extended by Jean-Marie Souriau in his Symplectic model of Statistical Physics called “Lie Groups Thermodynamics” providing an extension of Fisher metric for homogeneous Symplectic manifolds, associated to KKS (Kirillov-Kostant-Souriau) 2-form in case of non-null cohomology. Jean-Louis Koszul has developed mathematical foundation of Souriau model in the Lecture “Introduction to Symplectic Geometry”.

Koszul lecture related to geometric and analytic mechanics, Souriau’s Lie group thermodynamics and information geometry Survey Paper Published: 13 January 2021 Volume 4 , pages 245–262 ( 2021 ) Cite this article Save article View saved research Information Geometry Aims and scope Submit manuscript Abstract This paper deals with Jean-Louis Koszul’s works related to Geometric and Analytic Mechanics, and to Souriau’s Lie Group Thermodynamics that have appeared over time as elementary structures of Information Geometry. The 2nd Koszul form has been extended by Jean-Marie Souriau in his Symplectic

Explore this link on the map →

related reading