Cosymplectic Lagrangian-like submanifolds
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arXiv
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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915104003457024 |
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| author | Tchuiaga, S. Balibuno, F. Djoukeng, E. |
| author_facet | Tchuiaga, S. Balibuno, F. Djoukeng, E. |
| contents | This paper highlights the similarities between even-dimensional geometry (symplectic) and odd-dimensional geometry (cosymplectic). We study the Lagrangian Grassmannian in the cosymplectic setting. The space of compatible co-complex structures is introduced and analyzed. A study of Moser's trick and Lagrangian neighborhood theorems in the cosymplectic context follows. The corresponding Weinstein $1-$form is derived, and its de Rham class is a co-flux. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2501_00694 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Cosymplectic Lagrangian-like submanifolds Tchuiaga, S. Balibuno, F. Djoukeng, E. Differential Geometry This paper highlights the similarities between even-dimensional geometry (symplectic) and odd-dimensional geometry (cosymplectic). We study the Lagrangian Grassmannian in the cosymplectic setting. The space of compatible co-complex structures is introduced and analyzed. A study of Moser's trick and Lagrangian neighborhood theorems in the cosymplectic context follows. The corresponding Weinstein $1-$form is derived, and its de Rham class is a co-flux. |
| title | Cosymplectic Lagrangian-like submanifolds |
| topic | Differential Geometry |
| url | https://arxiv.org/abs/2501.00694 |