Browsing by Subject "Bi-Invariant Metrics"

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On the autonomous metric on groups of Hamiltonian diffeomorphisms of closed hyperbolic surfaces

[OWP-2013-18] Brandenbursky, Michael (Mathematisches Forschungsinstitut Oberwolfach, 2013-07-23)

Let $\Sigma_g$ be a closed hyperbolic surface of genus $g$ and let Ham( $\Sigma_ g$ ) be the group of Hamiltonian diffeomorphisms of $\Sigma_g$ . The most natural word metric on this group is the autonomous metric. It has ...