q-Cosymplectic Geometry, Integrability and Reduction
Fuente:
arXiv
Gespeichert in:
| Hauptverfasser: | , , |
|---|---|
| Format: | Preprint |
| Veröffentlicht: |
2025
|
| Schlagworte: | |
| Online-Zugang: | |
| Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
| _version_ | 1866912574842339328 |
|---|---|
| author | Leok, Melvin Sardón, Cristina Zhao, Xuefeng |
| author_facet | Leok, Melvin Sardón, Cristina Zhao, Xuefeng |
| contents | In the present paper, we define the concept of a \( q \)-cosymplectic manifold, on which we study the Hamiltonian, gradient, local gradient, and \( q \)-evolution vector fields. Several Liouville--Arnold-type theorems and a \( q \)-cosymplectic Marsden--Weinstein reduction theorem are established. We also provide physical examples illustrating the application of the structure to multitime dynamics (Fast-slow dynamical system). To make our work more self-contained, we include detailed proofs for some results that may resemble those known for cosymplectic manifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2509_05998 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | q-Cosymplectic Geometry, Integrability and Reduction Leok, Melvin Sardón, Cristina Zhao, Xuefeng Mathematical Physics In the present paper, we define the concept of a \( q \)-cosymplectic manifold, on which we study the Hamiltonian, gradient, local gradient, and \( q \)-evolution vector fields. Several Liouville--Arnold-type theorems and a \( q \)-cosymplectic Marsden--Weinstein reduction theorem are established. We also provide physical examples illustrating the application of the structure to multitime dynamics (Fast-slow dynamical system). To make our work more self-contained, we include detailed proofs for some results that may resemble those known for cosymplectic manifolds. |
| title | q-Cosymplectic Geometry, Integrability and Reduction |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2509.05998 |