Amari-Chentsov connections and their geodesics on homogeneous spaces of diffeomorphism groups
Lenells, Jonatan · Misiolek, Gerard
Original · EN
We study the family of α-connections of Amari-Chentsov on the homogeneous space D(M)/Dμ(M) of diffeomorphisms modulo volume-preserving diffeomorphims of a compact manifold M. We show that in some cases their geodesic equations yield completely integrable Hamiltonian systems.
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