The structure equations of a complex Finsler manifold (Q700498)

This paper is an interesting contribution to the increasing study of complex Finsler manifolds. The author defines a bundle of adapted unitary frames for a strongly pseudo-convex manifold and gives a complete set of invariants up to local biholomorphic isometries. A nonlinear Hermitian connection is determined and a new set of structure functions is obtained. If the manifold admits a geodesic curve with constant sectional curvature it is related to manifolds with Kobayashi metric.