The Penrose transform on conformally Bochner-Kähler manifolds

Abstract

We give a generalization of the Penrose transform on Hermitian manifolds with metrics locally conformally equivalent to Bochner-Kähler metrics. We also give an explicit formula for the inverse transform. This paper is a generalization of "The Twistor correspondence of the Dolbeault complex over $\C^n$" (dg-ga/9501004) and intended to supersede it.

arXiv commentAMS-LaTeX v1.2, 30 pages