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Special Einstein's equations on Kähler manifolds

2010/03/23 by Irena Hinterleitner, Hinterleitner, I., Volodymyr Kiosak +1
Mathematics · Physics and Astronomy · #32Q15 #35Q76 #53B20 #53B30 #53B35 #53B50 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.1003.4396

openalex publication_date 2010/03/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This work is devoted to the study of Einstein equations with a special shape of the energy-momentum tensor. Our results continue Stepanov's classification of Riemannian manifolds according to special properties of the energy-momentum tensor to Kähler manifolds. We show that in this case the number of classes reduces.

Citations

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