Horizontal -Laplacian on complex Finsler manifolds

A horizontal ■-Laplacian is defined on strongly pseudoconvex complex Finsler manifolds, first for functions and then for horizontal differential forms of type (p,q). The principal part of the (?)-Laplacian is computed in local coordinates. As an application, the (?)-Laplacian on strongly Kahler Finsler manifold is obtained explicitly in terms of the horizontal covariant derivatives of the Chern-Finsler conncetion.