2006/03/02 by M. Roček, Martin Rocek, Rocek, Martin +4 · 4 citations
Mathematics · Physics and Astronomy · #53C26 #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) #hep-th #math.DG #msc:53C26
paper · pdf · doi:10.48550/arxiv.math/0603048
12 pages, Submitted to the "Handbook of pseudo-Riemannian geometry and supersymmetry", IRMA Lectures in Mathematical Physics; references and typos corrected; published version
openalex publication_date 2006/03/02 · arxiv created 2006/05/02 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Under the action of the c-map, special Kahler manifolds are mapped into a class of quaternion-Kahler spaces. We explicitly construct the corresponding Swann bundle or hyperkahler cone, and determine the hyperkahler potential in terms of the prepotential of the special Kahler geometry.