Lesfari, A. Geodesic flow on \(\text{SO}(4)\), Kac-Moody Lie algebra and singularities in the complex \(t\)-plane. (English) Zbl 0968.35010 Publ. Mat., Barc. 43, No. 1, 261-279 (1999). The author studies geometrically the Euler-Arnold equations associated to geodesic flow on \(\text{SO}(3)\) for a left-invariant diagonal metric. A Lie algebra theoretical approach based on the Konstant-Kirillov coadjoint action was given. By the asymptotic analysis, the author shows that the linearization of the Euler-Arnold equations occurs on a related Prym variety. Reviewer: Xu Xiaoping (Kowloon) Cited in 5 Documents MSC: 35A30 Geometric theory, characteristics, transformations in context of PDEs Keywords:Euler-Arnold equations; geodesic flow; coadjoint action PDFBibTeX XMLCite \textit{A. Lesfari}, Publ. Mat., Barc. 43, No. 1, 261--279 (1999; Zbl 0968.35010) Full Text: DOI EuDML