(Quasi-)Hamiltonian manifolds of cohomogeneity one

Knop F, Paulus K (2023)

Publication Type: Journal article

Publication year: 2023


Book Volume: 305

Article Number: 29

Journal Issue: 2

DOI: 10.1007/s00209-023-03325-3


We classify compact, connected Hamiltonian and quasi-Hamiltonian manifolds of cohomogeneity one (which is the same as being multiplicity free of rank one). The group acting is a compact connected Lie group (simply connected in the quasi-Hamiltonian case). This work is a concretization of a more general classification of multiplicity free manifolds in the special case of rank one. As a result we obtain numerous new concrete examples of multiplicity free quasi-Hamiltonian manifolds or, equivalently, Hamiltonian loop group actions.

Authors with CRIS profile

How to cite


Knop, F., & Paulus, K. (2023). (Quasi-)Hamiltonian manifolds of cohomogeneity one. Mathematische Zeitschrift, 305(2). https://dx.doi.org/10.1007/s00209-023-03325-3


Knop, Friedrich, and Kay Paulus. "(Quasi-)Hamiltonian manifolds of cohomogeneity one." Mathematische Zeitschrift 305.2 (2023).

BibTeX: Download