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arXiv · 2401.06572

A rigidity result for coisotropic submanifolds in contact geometry

Stephane Geudens·Alfonso G. Tortorella
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Abstract

We study coisotropic deformations of a compact regular coisotropic submanifold $C$ in a contact manifold $(M,\xi)$. 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.

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Stephane Geudens, Alfonso G. Tortorella. 2024-01-12. A rigidity result for coisotropic submanifolds in contact geometry. https://arxiv.org/abs/2401.06572

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