313 citations · 679 across the 35 of their papers we have counts for
Showing 2010 · math-phShow all
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math-ph2010★ 5 cited
A new integrable system on the sphere and conformally equivariant quantization
Christian Duval, Galliano Valent
Taking full advantage of two independent projectively equivalent metrics on the ellipsoid leading to Liouville integrability of the geodesic flow via the well-known Jacobi-Moser sy…
math-ph2010★ 1 cited
Explicit integrable systems on two dimensional manifolds with a cubic first integral
Galliano Valent
A few years ago Selivanova gave an existence proof for some integrable models, in fact geodesic flows on two dimensional manifolds, with a cubic first integral. However the explici…
math-ph2010★ 6 cited
Bianchi type II,III and V diagonal Einstein metrics re-visited
Galliano Valent
We present, for both minkowskian and euclidean signatures, short derivations of the diagonal Einstein metrics for Bianchi type II, III and V. For the first two cases we show the in…