2020/04/08 by Samuel Ssekajja, Ssekajja, Samuel
Mathematics · #53C50 #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometric and Algebraic Topology #Geometry and complex manifolds #Primary 53C25 #Secondary 53C40
paper · pdf · doi:10.48550/arxiv.2005.10140
openalex publication_date 2020/04/08 · openalex created_date 2020/05/29 · openalex updated_date 2026/07/28
We study the geometry of null hypersurfaces in indefinite complex contact manifolds. We prove several classification results for a variety of well-known null hypersurfaces, including the totally umbilic, totally screen umbilic, and the screen conformal ones. Furthermore, a characterization of the ambient space is given in case the underlying null hypersurface is totally contact umbilic, totally contact screen umbilic or contact screen conformal, i.e. we have proved that the ambient complex contact manifold must be a space of constant GH-sectional curvature of -3.