Year: 2025
Type: article
Abstract: We show that the direct product of two Stein manifolds with the Hamiltonian density property enjoys the Hamiltonian density property as well. We investigate the relation between the Hamiltonian density property and the symplectic density property. We then establish the Hamiltonian and the symplectic density property for $$(\mathbb {C}^*)^{2n}$$ ( C ∗ ) 2 n and for the so-called traceless Calogero–Moser spaces. As an application we obtain a Carleman-type approximation for Hamiltonian diffeomorphisms of a real form of the traceless Calogero–Moser space.
Source: Journal of Geometric Analysis
Authors: Rafael B. Andrist, Gaofeng Huang
Institutions: University of Ljubljana, University of Bern
Language: English
Subfield: Geometry and Topology
Field: Mathematics
Domain: Physical Sciences
Open Access status: hybrid
Estimated APC paid: $3,290
OpenAlex ID: W4414931077