2009/04/30 by Liana David · 2 citations
Mathematics · #Conformal map #Dimension (graph theory) #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry #Geometry and complex manifolds #Hermitian manifold #Hermitian matrix #Kähler manifold #Manifold (fluid mechanics) #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Quaternionic representation #Ricci curvature #math.DG #msc:53C26
paper · pdf · doi:10.1016/j.geomphys.2009.12.003
published in Journal of Geometry and Physics 60(4), 574-580 (Elsevier BV) · small modifications in the introduction; simplifications in the proof of the main result
arxiv created 2009/11/02 · openalex publication_date 2009/12/29 · arxiv updated 2015/05/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We prove that if the fundamental 4-form of an almost-quaternionic Hermitian manifold (M, Q, g) of dimension at least eight satisfies the conformal-Killing equation, then (M, Q, g) is quaternionic-Kahler.