Direct Products for the Hamiltonian Density Property.
Abstract
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.
Fields of Study & Subjects
Geometric and Algebraic Topology
Algebraic structures and combinatorial models
Geometry and complex manifolds
Publication details
- Journal / source
- PubMed
- Publisher
- Springer Science and Business Media LLC
- Volume
- 36
- Issue
- 1
- Pages
- 8–8
- Publication date
- 1 January 2026
- Language
- EN