Messanae Universitas Studiorum: No conditions. Results ordered -Date Deposited. 2019-08-22T10:25:47ZEPrintshttp://cab.unime.it/images/sitelogo.pnghttp://cab.unime.it/mus/2008-08-07Z2010-04-13T11:15:38Zhttp://cab.unime.it/mus/id/eprint/503This item is in the repository with the URL: http://cab.unime.it/mus/id/eprint/5032008-08-07ZIndefinite metric of R. Mrugala and the geometry of thermodynamical phase space We study an indefinite metric G which was introduced by R. Mrugala and is defined on the contact phase space (P,?) of a homogeneous thermodynamical system. We describe the curvature properties and the isometry group of the metric G. We established an isomorphism of the space (P,?,G) with the Heisenberg Lie group Hn, endowed with the right invariant contact structure and the right invariant indefinite metric. The lift of the metric G to the symplectization of contact space (P,?) and its properties are studied. Finally we introduce the "hyperbolic projectivization" of the space () that can be considered as the natural compactification of the thermodynamical phase space (P, q, G).
Serge PrestonJames Vargo2008-01-28Z2010-04-13T11:16:30Zhttp://cab.unime.it/mus/id/eprint/468This item is in the repository with the URL: http://cab.unime.it/mus/id/eprint/4682008-01-28ZIndefinite metric of R. Mrugala and the geometry of thermodynamical phase space We study an indefinite metric G which was introduced by R. Mrugala and is defined on the contact phase space (P,?) of a homogeneous thermodynamical system. We describe the curvature properties and the isometry group of the metric G. We established an isomorphism of the space (P,?,G) with the Heisenberg Lie group Hn, endowed with the right invariant contact structure and the right invariant indefinite metric. The lift of the metric G to the symplectization of contact space (P,?) and its properties are studied. Finally we introduce the "hyperbolic projectivization" of the space () that can be considered as the natural compactification of the thermodynamical phase space (P, q, G).
Serge PrestonJames Vargo