39 citations · 39 across the 3 of their papers we have counts for
3 papers
gr-qc2008
Bianchi III and V Einstein metrics
Galliano Valent
We present diagonal Einstein metrics for Bianchi III and V, both for minkowskian and euclidean signatures and we show that the Einstein Bianchi III metrics have an integrable geode…
math-ph2004★ 39 cited
Quantum integrability of quadratic Killing tensors
Christian Duval, Galliano Valent
Quantum integrability of classical integrable systems given by quadratic Killing tensors on curved configuration spaces is investigated. It is proven that, using a "minimal" quanti…
hep-th2002
Higher Conservation Law for the Multi-Centre Metrics
G. Valent
The multi-centre metrics are a family of euclidean solutions of the empty space Einstein equations with self-dual curvature. For this full class, we determine which metrics do exhi…