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On Cartan Pseudo Groups

Published online by Cambridge University Press:  22 January 2016

A. M. Rodrigues
A. M. Rodrigues*
Affiliation:
Princeton University
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Let M be a domain in an Euclidean space and let Γ be a pseudo group of transformations of M. We say that Γ is a Cartan pseudo group [1, 2] if the following conditions are satisfied:

1)There exists a domain M′ and a projection ρ: M-→M′, such that the orbits of Γ are the fibers of the projection ρ.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 23 , December 1963 , pp. 1 - 4
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1963

References

[1] Cartan, E., Sur la structure des groupes infinis de transformations; Ann. Ec. Normale, t. 21, 1904.CrossRefGoogle Scholar
[2] Kuranishi, M., On the local theory of continuous infinite pseudo groups II. Nagoya Mathematical Journal, 1961.CrossRefGoogle Scholar
[3] Matsushima, Y., Sur les algebres de Lie linèaires semi-involutives, Colloque de Topologie de Strasbourg, 1954.Google Scholar