2018/11/26 by Ümit Ertem, Ertem, Ümit
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #hep-th #math-ph #math.DG #math.MP
paper · pdf · doi:10.48550/arxiv.1811.10242
12 pages
arxiv created 2018/11/26 · openalex publication_date 2018/11/26 · arxiv updated 2018/11/27 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Generalization of twistor spinors to Kähler manifolds which are called Kählerian twistor spinors are considered. We find the differential equation satisfied by the bilinear forms of Kählerian twistor spinors. We show that the bilinear form equation reduces to Kählerian conformal Killing-Yano equation under special conditions. We also investigate the special cases of holomorphic and anti-holomorphic Kählerian twistor spinors and the bilinear forms of alternative definitions for Kählerian twistor spinors.