A symmetry completeness criterion for second-order differential equations
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- by Larry Bates PDF
- Proc. Amer. Math. Soc. 132 (2004), 1785-1786 Request permission
Abstract:
A simple criterion for the completeness of an infinitesimal automorphism of a second-order differential equation is given.References
- Tadasi Nakayama, On Frobeniusean algebras. I, Ann. of Math. (2) 40 (1939), 611–633. MR 16, DOI 10.2307/1968946
- Shoshichi Kobayashi, Transformation groups in differential geometry, Ergebnisse der Mathematik und ihrer Grenzgebiete, Band 70, Springer-Verlag, New York-Heidelberg, 1972. MR 0355886
- Ottmar Loos, Automorphism groups of second order differential equations, Monatsh. Math. 96 (1983), no. 3, 195–207. MR 725631, DOI 10.1007/BF01605488
Additional Information
- Larry Bates
- Affiliation: Department of Mathematics, University of Calgary, Calgary, Alberta, Canada T2N 1N4
- MR Author ID: 32490
- Email: bates@math.ucalgary.ca
- Received by editor(s): February 12, 2003
- Received by editor(s) in revised form: February 17, 2003
- Published electronically: December 1, 2003
- Additional Notes: This research was partially supported by NSERC
- Communicated by: Carmen C. Chicone
- © Copyright 2003 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 132 (2004), 1785-1786
- MSC (2000): Primary 34C14
- DOI: https://doi.org/10.1090/S0002-9939-03-07228-9
- MathSciNet review: 2051142