Symmetry and separation of variables in Hamilton-Jacobi equations. I

C. Jacobi, Vorlesungen über Dynamik, Berlin (1866).

M. S. Yarov-Yarovoi, Prikl. Mat. Mekh.,27, No. 6 (1963).

T. Levi-Civita, Math. Ann.,59, 383?397 (1904).

V. V. Dobronravov, Principles of Analytical Mechanics [in Russian], Vysshaya Shkola, Moscow (1976).

P. Havas, J. Math. Phys.,16, No. 2 (1975).

W. Dietz, J. Phys., A: Math. and Gen.,9, No. 4 (1976).

P. Stackel, Habilitationschrift, Halle (1891).

N. Woodhouse, Commun. Math. Phys.,44, 9?38 (1975).

V. N. Shapovalov, Izv. Vyssh. Uchebn. Zaved., Fiz., No. 5 (1978).