10 citations · 10 across the 3 of their papers we have counts for
4 papers
A Hölder-type inequality for the distance and Anosov-Katok pseudo-rotations
Dušan Joksimović, Sobhan Seyfaddini
We prove a Hölder-type inequality for Hamiltonian diffeomorphisms relating the norm, the norm of the derivative, and the Hofer/spectral norm. We obtain as a consequence…
No symplectic-Lipschitz structures on
Dušan Joksimović
We prove that a closed manifold which admits a symplectic-Lipschitz structure has non-vanishing even-degree cohomology groups with real coefficients. In particular, spheres $S^{2n}…
Generating sets and representability for symplectic capacities
Dušan Joksimović, Fabian Ziltener
K. Cieliebak, H. Hofer, J. Latschev, and F. Schlenk (CHLS) posed the problem of finding a minimal generating set for the (symplectic) capacities on a given symplectic category. We…
Non-degeneracy of the Hofer norm for Poisson structures
Dušan Joksimović, Ioan Marcut
We remark that, as in the symplectic case, the Hofer norm on the Hamiltonian group of a Poisson manifold is non-degenerate. The proof is a straightforward application of tools from…