RT Journal Article
T1 Symplectic and inverse spectral geometry of integrable systems: A glimpse and open problems
A1 Pelayo, Álvaro
AB We first give a glimpse of finite dimensional classical integrable Hamiltonian systems from the point of view of symplectic geometry and briefly discuss their quantum counterparts, with an emphasis on recent progress on inverse spectral geometry. Then we propose several open problems about the geometry, topology and dynamics of these systems. The problems are largely motivated by the works of a number of authors, including Arnold, Atiyah, Colin de Verdière, Delzant, Duistermaat, Eliasson, Fomenko, Guillemin, Kolmogorov, Kostant, Moser and Sternberg.
PB Elsevier
SN 0166-8641
YR 2023
FD 2023
LK https://hdl.handle.net/20.500.14352/131018
UL https://hdl.handle.net/20.500.14352/131018
LA eng
DS Docta Complutense
RD 12 abr 2026