2014/12/22 by Bang‐Yen Chen, Bang-Yen Chen, Yu Fu +2
Mathematics · Physics and Astronomy · #53C40 #53C42 #Advanced Differential Geometry Research #Constant (computer programming) #Curvature #Differential Geometry (math.DG) #Euclidean geometry #Euclidean space #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry #Geometry and complex manifolds #Hypersurface #Ideal (ethics) #Mathematical analysis #Mathematical physics #Mathematics #Mean curvature #Null (SQL) #Pure mathematics #Scalar curvature #Type (biology) #math.DG #msc:53C40 #msc:53C42
paper · pdf · doi:10.48550/arxiv.1412.7081
14 pages, to appear in Differential Geometry and Its Applications
arxiv created 2014/12/22 · openalex publication_date 2014/12/22 · arxiv updated 2014/12/23 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In the theory of finite type submanifolds, null 2-type submanifolds are the most simple ones, besides 1-type submanifolds (cf. e.g., [3, 12]). In particular, the classification problems of null 2-type hypersurfaces are quite interesting and of fundamentally important. In this paper, we prove that every δ(3)-ideal null 2-type hypersurface in a Euclidean space has constant mean curvature and constant scalar curvature.