Bazajkin, Ya. V. Double quotients of Lie groups with integrable geodesic flow. (English. Russian original) Zbl 0956.53053 Sib. Math. J. 41, No. 3, 419-432 (2000); translation from Sib. Mat. Zh. 41, No. 3, 513-530 (2000). Double quotients of Lie groups are considered. Using the Thimm method, the author estimates the minimal number of independent integrals of a geodesic flow of double quotients of compact Lie groups with doubleside invariant metrics. The author also proves integrability of geodesic flows on 7- and 13-dimensional spaces of positive sectional curvature obtained by J.-H. Eschenburg and Ya. V. Bazajkin. Reviewer: A.E.Mironov (Novosibirsk) Cited in 2 Documents MSC: 53D25 Geodesic flows in symplectic geometry and contact geometry 53C30 Differential geometry of homogeneous manifolds Keywords:double quotients of Lie groups; geodesic flow; Thimm method PDFBibTeX XMLCite \textit{Ya. V. Bazajkin}, Sib. Math. J. 41, No. 3, 513--530 (2000; Zbl 0956.53053); translation from Sib. Mat. Zh. 41, No. 3, 513--530 (2000) Full Text: EuDML