1.New invariant tensors in CR structure and a normal form for real hypersurfaces at a generic Levi degeneracy. 2.A fixed theorem of discrete group actions on Riemannian manifolds. 3.Integral curvature bounds, distance estimates and applications. 4.Willmore immersions and loop groups. 5.Fedosov connections on Kahler symmetric manifolds and trace density computation. 6.Errors in the paper even sets of nodes are bundle symmetric