2012/04/30 by Stuart James Hall
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Computer science #Construct (python library) #Curvature #Einstein #Einstein manifold #Fano plane #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Hermitian matrix #Hypersurface #Mathematical analysis #Mathematical physics #Mathematics #Pure mathematics #Ricci curvature #math.DG
paper · pdf · doi:10.1016/j.geomphys.2012.10.013
11 pages, v2 expanded and references added. To appear in J. Geom. Phys
arxiv created 2012/10/28 · openalex publication_date 2012/11/14 · arxiv updated 2015/06/04 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We construct quasi-Einstein metrics on some hypersurface families. The hypersurfaces are circle bundles over the product of Fano, Kähler-Einstein manifolds. The quasi-Einstein metrics are related to various gradient Kähler-Ricci solitons constructed by Dancer and Wang and some Hermitian, non-Kähler, Einstein metrics constructed by Wang and Wang on the same manifolds.