科研之友
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摘要
In this article we prove that for a smooth fiberwise convex Hamiltonian, the asymptotic Hofer distance from the identity gives a strict upper bound to the value at 0 of Mather's beta function, thus providing a negative answer to a question asked by Siburg [15]. However, we show that equality holds if one considers the asymptotic distance defined by Viterbo [20].
- 出版日期2010
