On a Riemannian metric on contact thermodynamic spaces

DOI10.1016/S0034-4877(97)84887-2zbMath0885.53026OpenAlexW1998665633WikidataQ115339889 ScholiaQ115339889MaRDI QIDQ1373569

Ryszard Mrugała

Publication date: 2 April 1998

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(97)84887-2

zbMATH Keywords

contact structurecurvatureLegendre submanifoldcontact termodynamic space

Mathematics Subject Classification ID

Applications of differential geometry to physics (53Z05) Classical and relativistic thermodynamics (80A10) Dynamical aspects of finite-dimensional Hamiltonian and Lagrangian systems (37J99) Foundations of thermodynamics and heat transfer (80A05) General geometric structures on manifolds (almost complex, almost product structures, etc.) (53C15) Statistical thermodynamics (82B30)

Related Items (4)

Reparametrizations and metric structures in thermodynamic phase space ⋮ Almost paracontact structures on Kaluza-Klein spaces ⋮ WEYL STRUCTURES ON ALMOST PARACONTACT MANIFOLDS ⋮ On the Helmholtz potential metric: the isotherm length-work theorem

Cites Work

• On the existence of Riemann metrics associated with a 2-form of rank \(2r\)
• On differentiable manifolds with contact metric structures
• On the differential geometry of tangent bundles of Riemannian manifolds. II
• Contact structure in thermodynamic theory
• On differentiable manifolds with certain structures which are closely related to almost contact structure. I
• Almost contact manifolds with Killing structure tensors
• Riemannian geometry and stability of ideal quantum gases
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