English

The Penrose transform on conformally Bochner-K\"ahler manifolds

dg-ga 2008-02-03 v1 alg-geom Algebraic Geometry Differential Geometry

Abstract

We give a generalization of the Penrose transform on Hermitian manifolds with metrics locally conformally equivalent to Bochner-K\"ahler 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 \Cn\C^n" (dg-ga/9501004) and intended to supersede it.

Keywords

Cite

@article{arxiv.dg-ga/9610010,
  title  = {The Penrose transform on conformally Bochner-K\"ahler manifolds},
  author = {Yoshinari Inoue},
  journal= {arXiv preprint arXiv:dg-ga/9610010},
  year   = {2008}
}

Comments

AMS-LaTeX v1.2, 30 pages