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20052023
most citedCommuting Hamiltonians and multi-time Hamilton-Jacobi equations

69 citations · 174 across the 18 of their papers we have counts for

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math.SG2011

Symplectic rigidity and weak commutativity

S. Vazzoler, F. Cardin

An alternative proof of Eliashberg-Gromov's C^0-rigidity theorem is presented and a new notion of weak Lie brackets for Hamiltonian vector fields is proposed and compared.

math.SG2005★ 69 cited

Commuting Hamiltonians and multi-time Hamilton-Jacobi equations

Franco Cardin, Claude Viterbo

We prove that if a sequence of pairs of smooth commuting Hamiltonians converge in the topology to a pair of smooth Hamiltonians, these commute. This allows us define the noti…