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.
A rigidity result for coisotropic submanifolds in contact geometry
Tortorella, Alfonso G.
2025-01-01
Abstract
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.File in questo prodotto:
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