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On Cartan Pseudo Groups
Published online by Cambridge University Press: 22 January 2016
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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.
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- Research Article
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- 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
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