Normalization of the Hamiltonian and the action spectrum
| dc.creator | Oh, Yong-Geun | |
| dc.date | 2002-06-10 | |
| dc.date | 2002-06-26 | |
| dc.date.accessioned | 2026-07-07T04:49:00Z | |
| dc.date.available | 2026-07-07T04:49:00Z | |
| dc.description | In this paper, we prove that the two well-known natural normalizations of Hamiltonian functions on the symplectic manifold $(M,ω)$ canonically relates the action spectra of different normalized Hamiltonians on {\it arbitrary} symplectic manifolds $(M,ω)$. The natural class of normalized Hamiltonians consists of those whose mean value is zero for the closed manifold, and those which are compactly supported in $\text{Int} M$ for the open manifold. We also study the effect of the action spectrum under the $π_1$ of Hamiltonian diffeomorphism group. This forms a foundational basis for our study of spectral invariants of the Hamiltonian diffeomorphism in [Oh4]. | |
| dc.description | 15 pages, typos corrected | |
| dc.identifier | https://arxiv.org/abs/math/0206090 | |
| dc.identifier | http://arxiv.org/abs/math/0206090 | |
| dc.identifier | J. Korean Math. Soc. 42 (2005), No. 1, 65 - 83 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/64264 | |
| dc.subject | Symplectic Geometry | |
| dc.subject | Differential Geometry | |
| dc.subject | 53D35; 53D05 | |
| dc.title | Normalization of the Hamiltonian and the action spectrum | |
| dc.type | text |