A rigidity result for coisotropic submanifolds in contact geometry
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910701476380672 |
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| author | Geudens, Stephane Tortorella, Alfonso G. |
| author_facet | Geudens, Stephane Tortorella, Alfonso G. |
| contents | We study coisotropic deformations of a compact regular coisotropic submanifold $C$ in a contact manifold $(M,ξ)$. Our main result states that $C$ is rigid among nearby coisotropic submanifolds whose characteristic foliation is diffeomorphic to that of $C$. When combined with a classical rigidity result for foliations, this yields conditions under which $C$ is rigid among all nearby coisotropic submanifolds. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2401_06572 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | A rigidity result for coisotropic submanifolds in contact geometry Geudens, Stephane Tortorella, Alfonso G. Symplectic Geometry Differential Geometry 53D10 We study coisotropic deformations of a compact regular coisotropic submanifold $C$ in a contact manifold $(M,ξ)$. Our main result states that $C$ is rigid among nearby coisotropic submanifolds whose characteristic foliation is diffeomorphic to that of $C$. When combined with a classical rigidity result for foliations, this yields conditions under which $C$ is rigid among all nearby coisotropic submanifolds. |
| title | A rigidity result for coisotropic submanifolds in contact geometry |
| topic | Symplectic Geometry Differential Geometry 53D10 |
| url | https://arxiv.org/abs/2401.06572 |