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A rigidity result for coisotropic submanifolds in contact geometry (2401.06572v2)
Published 12 Jan 2024 in math.SG and math.DG
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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