Lie completion of pseudo-groups-Reference-Cited by-同舟云学术

Lie completion of pseudo-groups

Published:2010-12-03 Issue:1 Volume:16 Page:161-173
ISSN:1083-4362
Container-title:Transformation Groups
language:en
Short-container-title:Transformation Groups

Author:

Itskov Vladimir,Olver Peter J.,Valiquette Francis

Publisher

Springer Science and Business Media LLC

Subject

Geometry and Topology,Algebra and Number Theory

Link

http://link.springer.com/content/pdf/10.1007/s00031-010-9118-1.pdf

Reference20 articles.

1. R. L. Bryant, S.-S. Chern, R. B. Gardner, H. L. Goldschmidt, P. A. Griffiths, Exterior Differential Systems, Math. Sci. Res. Inst. Publ., Vol. 18, Springer-Verlag, New York, 1991.

2. É. Cartan, Sur la structure des groupes infinis de transformations, in: Oeuvres Complètes, Part II, Vol. 2, Gauthier-Villars, Paris, 1953, pp. 571–714.

3. C. Ehresmann, Introduction à la théorie des structures infinitésimales et des pseudo-groupes de Lie, in: Géometrie Différentielle, Colloq. Inter. du Centre Nat. de la Rech. Sci., Strasbourg, 1953, pp. 97–110.

4. D. B. Fuchs, A. M. Gabrielov, I. M. Gel'fand, The Gauss-Bonnet theorem and Atiyah-Patodi-Singer functionals for the characteristic classes of foliations, Topology 15 (1976), 165–188.

5. V. Itskov, Orbit Reduction of Exterior Differential Systems, PhD Thesis, University of Minnesota, 2002.

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