Lévy Laplacians, Holonomy Group and Instantons on 4-Manifolds

Modified Lévy Laplacian on manifold

“…In the present paper, we generalize this theorem for instantons and antiinstantons on a 4-dimensional Riemannian manifold. The effect of the holonomy group on a manifold on the connection between Lévy Laplacians and instantons was studied in [9]. The concept of the modified Lévy Laplacian can be generalized to the case of a manifold.…”