Hostname: page-component-8448b6f56d-wq2xx Total loading time: 0 Render date: 2024-04-25T02:13:22.064Z Has data issue: false hasContentIssue false
  • English
  • Français

Jacobi elliptic algebras of SO(3)

Published online by Cambridge University Press:  18 May 2009

Hyo Chul Myung  and
Dong Soo Lee
Hyo Chul Myung
Affiliation:
Department of Mathematics, University of Northern Iowa, Cedar Falls, Iowa 50614, USA
Dong Soo Lee
Affiliation:
Department of Mathematics, Chungnam National University, Taejon 305-764, Korea
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

A class of algebras that describe invariant pseudo-Riemannian connections on SO(3) is shown to comprise Jacobi elliptic algebras arising from the Jacobi elliptic functions

Type
Research Article
Information
Glasgow Mathematical Journal , Volume 39 , Issue 1 , January 1997 , pp. 115 - 120
Copyright
Copyright © Glasgow Mathematical Journal Trust 1997

References

REFERENCES

1.Birkhoff, G. and Rota, Gian-Carlo, Ordinary differential equations (John Wiley, New York, 1989).Google Scholar
2.Hermann, R., Differential geometry and the calculus of variations (Math. Sci. Press, MA, 1977).Google Scholar
3.Kinyon, M. K. and Sagle, A. A., Quadratic dynamical systems and algebras, J. Differential Equations 117 (1995), 67–126.Google Scholar
4.K, Nomizu, Invariant affine connections on homogeneous spaces, Amer. J. Math. 76 (1954), 33–65.Google Scholar
5.Sagle, A. A., Nonassociative algebras and invariant mechanical systems I, Hadronic J. 7 (1984), 1259–1302.Google Scholar
6.Sattinger, D. H. and Weaver, O. L., Lie groups and algebras with applications to physics and mechanics (Springer-Verlag, New York, 1986).CrossRefGoogle Scholar
7.Solomentsev, E. D., Jacobi elliptic functions in Encycl. Math. (Kluwer Acad. Publ. 5 (1993)), 221–224.Google Scholar
8.Walcher, S., Algebras and differential equations (Hadronic Press, Palm Harbor, FL, 1991).Google Scholar