Lengths of Contact Isotopies and Extensions of the Hofer Metric
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Using the Hofer metric, we construct, under a certain condition, a bi-invariant distance on the identity component in the group of strictly contact diffeomorphisms of a compact regular contact manifold. We also show that the Hofer metric on Ham(M) has a right-invariant (but not left invariant) extension to the identity component in the groups of symplectic diffeomorphisms of certain symplectic manifolds.
Key wordsHofer metric regular contact form Calabi group Calabi invariant Hamiltonian diffeomorphisms strictly contact diffeomorphisms symplectic diffeomorphisms
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