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Geometric formulation of Carnot's theorem

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Published under licence by IOP Publishing Ltd
, , Citation Alberto Ibort et al 2001 J. Phys. A: Math. Gen. 34 1691 DOI 10.1088/0305-4470/34/8/314

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Author affiliations

1 Departamento de Matemáticas, Universidad Carlos III de Madrid, Avenida de la Universidad 30, 28911 Leganés, Madrid, Spain

2 Instituto de Matemáticas y Física Fundamental, CSIC, Serrano 123, 28006 Madrid, Spain

3 Departamento de Matemáticas, UAM-Iztapalapa, Apto Postal 55-534, 09340 Méjico, DF, Mexico

4 Dpto de Matemática Fundamental, Facultad de Matemáticas, Universidad de La Laguna, Tenerife, Canary Islands, Spain

5 Instituto de Fisica, Departamento de Fisica Matematica, Universidade Federal de Rio de Janeiro, Cidade Universitaria, CT Bloco A, 21944, Rio de Janeiro, RJ, Brazil

Dates

  1. Received 28 June 2000

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0305-4470/34/8/1691

Abstract

A geometrical approach for one-sided constraints is given. The Riemannian metric is used in order to define convenient projectors which give the post-impulses in terms of the pre-impulses. A formulation of Carnot's theorem within this geometric framework is exhibited.

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10.1088/0305-4470/34/8/314