Abstract
In this paper, we construct infinitely many bi-invariantmetrics on the Hamiltonian diffeomorphism group and study their basic properties and corresponding generalizations of the Hofer inequality and Sikorav one.
Citation
Guangcun Lu. Tie Sun. "A CLASS OF NEW BI-INVARIANT METRICS ON THE HAMILTONIAN DIFFEOMORPHISM GROUPS." Taiwanese J. Math. 19 (4) 1111 - 1143, 2015. https://doi.org/10.11650/tjm.19.2015.5098
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