LIGHT-CONE PARAMETRIZATIONS FOR KAHLER-MANIFOLDS

It is shown that, for any Kahler manifold, there exist parametrization s such that the metric takes a block-form identical to the light-cone metric introduced by Polyakov for two-dimensional gravity. Besides its possible relevance for various aspects of Kahlerian geometry, this fa ct allows us to change gauge in W-gravities, and explicitly go from th e conformal (Toda) gauge to the light-cone gauge using the W-geometry we proposed earlier (this will be discussed in detail in a forthcoming article).