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math-ph2006★ 7 cited
Integrable geodesic flows and Multi-Centre versus Bianchi A metrics
Galliano Valent, Hamed Ben Yahia
It is shown that most, but not all, of the four dimensional metrics in the Multi-Centre family with integrable geodesic flow may be recognized as belonging to spatially homogeneous…
math-ph2005
Neumann-like integrable models
Galliano Valent, Hamed Ben Yahia
A countable class of integrable dynamical systems, with four dimensional phase space and conserved quantities in involution (H\_n,I\_n) are exhibited. For we recover Neumann…