A zoo of coisotropic embeddings
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arXiv
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| Main Authors: | , , , |
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866912663509925888 |
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| author | Izquierdo-López, Rubén de León, Manuel Schiavone, Luca Soto, Pablo |
| author_facet | Izquierdo-López, Rubén de León, Manuel Schiavone, Luca Soto, Pablo |
| contents | The aim of this paper is to extend the coisotropic embedding theorem obtained by M. J. Gotay for pre-symplectic manifolds to more general geometric settings: cosymplectic, contact, cocontact, $k$-symplectic, $k$-cosymplectic, $k$-contact, and multisymplectic manifolds. The results are obtained by applying a generic methodology, which gives more relevance to the potential applications. In that sense, this paper gives the fundamental basis to be able to apply the results to the so-called regularization problem of singular Lagrangian systems, both in mechanics and in classical field theories. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2509_19039 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A zoo of coisotropic embeddings Izquierdo-López, Rubén de León, Manuel Schiavone, Luca Soto, Pablo Differential Geometry Symplectic Geometry 37J39, 37J55, 53D42, 53Z05, 70S20 The aim of this paper is to extend the coisotropic embedding theorem obtained by M. J. Gotay for pre-symplectic manifolds to more general geometric settings: cosymplectic, contact, cocontact, $k$-symplectic, $k$-cosymplectic, $k$-contact, and multisymplectic manifolds. The results are obtained by applying a generic methodology, which gives more relevance to the potential applications. In that sense, this paper gives the fundamental basis to be able to apply the results to the so-called regularization problem of singular Lagrangian systems, both in mechanics and in classical field theories. |
| title | A zoo of coisotropic embeddings |
| topic | Differential Geometry Symplectic Geometry 37J39, 37J55, 53D42, 53Z05, 70S20 |
| url | https://arxiv.org/abs/2509.19039 |