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arxiv: 1406.5878 · v1 · pith:BYXDTYJEnew · submitted 2014-06-23 · 🧮 math.SG

A class of new bi-invariant metrics on the Hamiltonian diffeomorphism groups

classification 🧮 math.SG
keywords bi-invariantdiffeomorphismhamiltonianmetricsbasicclassconstructcorresponding
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In this paper, we construct infinitely many bi-invariant metrics on the Hamiltonian diffeomorphism group and study their basic properties and corresponding generalizations of the Hofer inequality and Sikorav one.

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