2024/01/12 by Stephane Geudens, Geudens, Stephane, Alfonso Giuseppe Tortorella +1
Mathematics · #Geometric and Algebraic Topology #Geometric Analysis and Curvature Flows #Point processes and geometric inequalities
paper · pdf · doi:10.48550/arxiv.2401.06572
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.