Abstract
On a complex manifold of dimension more than two which admits a holomorphic conformal structure, we define conformal Weyl forms, a kind of char-acteristic forms, by means of the holomorphic conformal Weyl curvature tensor, and prove a formula which relates these forms with Chem forms.
Our result is a conformal analogue in the holomorphic case of our previous result [Kt] on projective connections, and gives a more precise description of a theorem of Kobayashi-Ochiai [KO, Theorem 3.20] in the case of dimension more than two. At present, we do not know whether a similar formula exists in the general case where the manifold admits only differentiable conformal structures.
