Some results on the frame bundle of an almost contact metric manifold
We give a canonical construction of an “isotropic average” of given -close isotropic submanifolds of a symplectic manifold. For this purpose we use an improvement (obtained in collaboration with H. Karcher) of Weinstein’s submanifold averaging theorem and apply “Moser’s trick”. We also present an application to Hamiltonian group actions.
Biharmonic or polyharmonic curves and surfaces in 3-dimensional contact manifolds are investigated.