2008/12/15 by M. Brozos-Vazquez, Miguel Brozos‐Vázquez, Peter Gilkey +9
Mathematics · Physics and Astronomy · #53B20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #math.DG #msc:53B20
paper · pdf · doi:10.48550/arxiv.0812.2743
arxiv created 2008/12/15 · openalex publication_date 2008/12/15 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We show that a Hermitian algebraic curvature model satisfies the Gray identity if and only if it is geometrically realizable by a Hermitian manifold. Furthermore, such a curvature model can in fact be realized by a Hermitian manifold of constant scalar curvature and constant *-scalar curvature which satisfies the Kaehler condition at the point in question.