A relation between k-symplectic and k-contact Hamiltonian systems
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866911005235216384 |
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| author | Vilariño, S. |
| author_facet | Vilariño, S. |
| contents | Systems of partial differential equations which appear in classical field theories can be studied geometrically using different geometrical structures, for example, k-symplectic geometry, k-cosymplectic geometry, multisymplectic geometry, etc. In recent years, there has been a notable increase in the study of k-contact Hamiltonian systems. These are based on the description of the dynamics of field theories using the so-called k-contact manifolds. Such structures are generalizations of contact structures and k-symplectic structures. The relation between k-symplectic manifolds and k-contact manifolds was previoustly established. In light of the above relation, this work seeks to explore the relationship between k-symplectic Hamiltonian systems and k-contact Hamiltonian systems. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2506_11873 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A relation between k-symplectic and k-contact Hamiltonian systems Vilariño, S. Mathematical Physics Systems of partial differential equations which appear in classical field theories can be studied geometrically using different geometrical structures, for example, k-symplectic geometry, k-cosymplectic geometry, multisymplectic geometry, etc. In recent years, there has been a notable increase in the study of k-contact Hamiltonian systems. These are based on the description of the dynamics of field theories using the so-called k-contact manifolds. Such structures are generalizations of contact structures and k-symplectic structures. The relation between k-symplectic manifolds and k-contact manifolds was previoustly established. In light of the above relation, this work seeks to explore the relationship between k-symplectic Hamiltonian systems and k-contact Hamiltonian systems. |
| title | A relation between k-symplectic and k-contact Hamiltonian systems |
| topic | Mathematical Physics |
| url | https://arxiv.org/abs/2506.11873 |