Infinitesimal Legendre symmetry in the Geometrothermodynamics programme

DOI10.1063/1.4891921zbMath1298.83119arXiv1404.6296OpenAlexW3102409431MaRDI QIDQ3189969

Cesar S. Lopez-Monsalvo, D. Garcia-Pelaez

Publication date: 12 September 2014

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1404.6296

zbMATH Keywords

geometrothermodynamicsLegendre symmetryLegendre-Killing equation

Mathematics Subject Classification ID

Geometrodynamics and the holographic principle (83E05) Macroscopic interaction of the gravitational field with matter (hydrodynamics, etc.) (83C55) Classical and relativistic thermodynamics (80A10)

Related Items (6)

Light propagation through optical media using metric contact geometry ⋮ Hamiltonian thermodynamics in the extended phase space: a unifying theory for non-linear molecular dynamics and classical thermodynamics ⋮ Thermodynamic geometry for a non-extensive ideal gas ⋮ Contact symmetries and Hamiltonian thermodynamics ⋮ Relativistic like structure of classical thermodynamics ⋮ Contact polarizations and associated metrics in geometric thermodynamics

Cites Work

• Breaking of supersymmetry and ultraviolet divergences in extended supergravity. Proceedings of the INFN-Laboratori Nazionali di Frascati School. Lectures held at the workshop BUDS 2013, March 25--28, 2013
• A Hamilton-Jacobi formalism for thermodynamics
• Submanifolds in the thermodynamic phase space
• Representation invariant geometrothermodynamics: applications to ordinary thermodynamic systems
• Geometrothermodynamics
• The conformal metric structure of Geometrothermodynamics
• Riemannian geometry of contact and symplectic manifolds

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