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A symmetry completeness criterion for second-order differential equations

Author(s): Larry Bates
Journal: Proc. Amer. Math. Soc. 132 (2004), 1785-1786.
MSC (2000): Primary 34C14
Posted: December 1, 2003
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Abstract | References | Similar articles | Additional information

Abstract: A simple criterion for the completeness of an infinitesimal automorphism of a second-order differential equation is given.

References:

1.: S. Kobayashi, Espaces à connexion de Cartan complets, Proc. Japan Acad. Sci. 30 (1954), 709-710. MR 16:1053d
2.: S. Kobayashi,
Transformation groups in differential geometry, volume 70 of Ergebnisse der Mathematik und ihrer Grenzgebiete,
Springer-Verlag, New York, 1972. MR 50:8360
3.: O. Loos, Automorphism groups of second-order differential equations, Monatshefte für Mathematik 96 (1983), 195-207. MR 85d:58075

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Additional Information:

Larry Bates
Affiliation: Department of Mathematics, University of Calgary, Calgary, Alberta, Canada T2N 1N4
Email: bates@math.ucalgary.ca

DOI: 10.1090/S0002-9939-03-07228-9
PII: S 0002-9939(03)07228-9
Keywords: Second-order differential equations, symmetry, completeness
Received by editor(s): February 12, 2003
Received by editor(s) in revised form: February 17, 2003
Posted: December 1, 2003
Additional Notes: This research was partially supported by NSERC
Communicated by: Carmen C. Chicone
Copyright of article: Copyright 2003, American Mathematical Society


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