8 citations · 12 across the 4 of their papers we have counts for
5 papers
Lower semi-continuity of Lagrangian volume
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
We study lower semi-continuity properties of the volume, i.e., the surface area, of a closed Lagrangian manifold with respect to the Hofer- and -distance on a class of monotone…
On the spectral characterization of Besse and Zoll Reeb flows
Viktor L. Ginzburg, Basak Z. Gurel, Marco Mazzucchelli
A closed contact manifold is called Besse when all its Reeb orbits are closed, and Zoll when they have the same minimal period. In this paper, we provide a characterization of Bess…
Pseudo-rotations and holomorphic curves
Erman Cineli, Viktor L. Ginzburg, Basak Z. Gurel
We prove a variant of the Chance-McDuff conjecture for pseudo-rotations: under certain additional conditions, a closed symplectic manifold which admits a Hamiltonian pseudo-rotatio…
Approximate Identities and Lagrangian Poincaré Recurrence
Viktor L. Ginzburg, Basak Z. Gurel
In this note we discuss three interconnected problems about dynamics of Hamiltonian or, more generally, just smooth diffeomorphisms. The first two concern the existence and propert…
Multiplicity of Closed Reeb Orbits on Prequantization Bundles
Viktor L. Ginzburg, Basak Z. Gurel, Leonardo Macarini
We establish multiplicity results for geometrically distinct contractible closed Reeb orbits of non-degenerate contact forms on a broad class of prequantization bundles. The result…