Polysymplectic Souriau Lie group thermodynamics and the geometric structure of its coadjoint orbits

DOI10.1007/978-3-031-38299-4_14OpenAlexW4385417182MaRDI QIDQ6138222

Mohamed El Morsalani

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-38299-4_14

zbMATH Keywords

Lie groups thermodynamicspoly-symplectic manifolds

Mathematics Subject Classification ID

Symplectic manifolds (general theory) (53D05) Applications of differential geometry to physics (53Z05) Classical and relativistic thermodynamics (80A10) Foundations of thermodynamics and heat transfer (80A05) Coadjoint orbits; nilpotent varieties (17B08) Differential geometric aspects of statistical manifolds and information geometry (53B12) General theory of finite-dimensional Hamiltonian and Lagrangian systems, Hamiltonian and Lagrangian structures, symmetries, invariants (37J06) Relations of finite-dimensional Hamiltonian and Lagrangian systems with topology, geometry and differential geometry (symplectic geometry, Poisson geometry, etc.) (37J39)

Cites Work

• Unnamed Item
• Poly-Poisson structures
• The local structure of Poisson manifolds
• Koszul lecture related to geometric and analytic mechanics, Souriau's Lie group thermodynamics and information geometry
• The polysymplectic Hamiltonian formalism in field theory and calculus of variations. I: The local case
• Symmetries of Hamiltonian Systems on Symplectic and Poisson Manifolds
• Introduction to Symplectic Geometry
• Jean-Marie Souriau’s Symplectic Model of Statistical Physics: Seminal Papers on Lie Groups Thermodynamics - Quod Erat Demonstrandum
• Souriau-Casimir Lie Groups Thermodynamics and Machine Learning
• Reduction of polysymplectic manifolds

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