A K-contact simply connected 5-manifold with no semi-regular Sasakian structure
A K-contact simply connected 5-manifold with no semi-regular Sasakian structure
We construct the first example of a 5-dimensional simply connected compact manifold that admits a K-contact structure but does not admit any semi-regular Sasakian structure.For this, we need two ingredients: (a) to construct a suitable simply connected symplectic 4-manifold with disjoint symplectic surfaces spanning the homology, all of them of …