Rigidity of integral coisotropic submanifolds of contact manifolds

Abstract

Unlike Legendrian submanifolds, the deformation problem of coisotropic submanifolds can be obstructed. Starting from this observation, we single out in the contact setting the special class of integral coisotropic submanifolds as the direct generalization of Legendrian submanifolds for what concerns deformation and moduli theory. Indeed, being integral coisotropic is proved to be a rigid condition, and moreover the integral coisotropic deformation problem is unobstructed with discrete moduli space.

v3: 12 pages, published in Lett. Math. Phys., comments still welcome!

References in corpus (2)

• Deformations of coisotropic submanifolds and strong homotopy Lie algebroids
• Jacobi bundles and the BFV-complex

Cited by in corpus (6)

• Contact Hamiltonian Systems
• A review on contact Hamiltonian and Lagrangian systems
• Reductions: precontact versus presymplectic
• Jacobi bundles and the BFV-complex
• The Local Structure of Generalized Contact Bundles
• A review on coisotropic reduction in Symplectic, Cosymplectic, Contact and Co-contact Hamiltonian systems