Hofer metric on Ham(M, ω)

Layer 0 — Mathematicsin the symplectic-geometry subtree

Hofer's bi-invariant distance on the group Ham(M, ω) of Hamiltonian diffeomorphisms is the infimum, over time-dependent Hamiltonians H_t generating the flow from φ to ψ, of ∫₀¹ (osc H_t) dt, where osc H_t = max H_t − min H_t. The…

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