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math-ph2007
Integration of geodesic flows on homogeneous spaces: the case of a wild lie group
A. A. Magazev, I. V. Shirokov
We obtain necessary and sufficient conditions for the integrability in quadratures of geodesic flows on homogeneous spaces with invariant and central metrics. The proposed inte…
math-ph2001
Darboux Coordinates on K-Orbits and the Spectra of Casimir Operators on Lie Groups
I. V. Shirokov
We propose an algorithm for obtaining the spectra of Casimir (Laplace) operators on Lie groups. We prove that the existence of the normal polarization associated with a linear func…