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The Penrose transform on conformally Bochner-Kähler manifolds

1996/10/21 by Yoshinari Inoue, Inoue, Yoshinari
Mathematics · Physics and Astronomy · #32C35 (Secondary) #32L25 (Primary) #53C55 #Advanced Differential Geometry Research #Algebraic Geometry (math.AG) #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #alg-geom #dg-ga #math.AG #math.DG #msc:32C35 #msc:32L25 #msc:53C55

paper · pdf · doi:10.48550/arxiv.dg-ga/9610010

AMS-LaTeX v1.2, 30 pages

arxiv created 1996/10/21 · openalex publication_date 1996/10/21 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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 \Cn" (dg-ga/9501004) and intended to supersede it.

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