Published In

Atti dell’Accademia Peloritana dei Pericolanti Classe di Scienze Fisiche, Matematiche e Naturali

Document Type

Article

Publication Date

2008

Subjects

Mathematical physics, Thermodynamics, Differential Geometry

Abstract

We study an indefinite metric G which was introduced by R. Mrugala and is defined on the contact phase space (P, θ) 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, θ, 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, θ) 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, θ, G).

Description

This is the publisher's final PDF and is distributed under the terms and conditions of a Creative Commons Attribution 3.0 Unported License. Originally published in Atti della Accademia Peloritana dei Pericolanti – Classe di Scienze Fisiche, Matematiche e Naturali and can be found online at: http://dx.doi.org/10.1478/C1S0801019

DOI

10.1478/C1S0801019

Persistent Identifier

http://archives.pdx.edu/ds/psu/13332

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