2016/01/14 by Κωνσταντίνα Παναγιωτίδου, Konstantina Panagiotidou, Panagiotidou, Konstantina
Mathematics · #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds #Holomorphic and Operator Theory #math.DG
paper · pdf · doi:10.48550/arxiv.1601.03509
arXiv admin note: text overlap with arXiv:1601.03136
arxiv created 2016/01/14 · openalex publication_date 2016/01/14 · arxiv updated 2016/01/15 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28
In this paper the result of real hypersurfaces in non-flat complex space forms, whose structure vector field ξ belongs to the κ-nullity distribution is extended in case of three dimensional real hypersurfaces in non-flat complex space forms. Furthermore, generalization of notion (κ,μ)-nullity distribution defined on real hypersurfaces and results of real hypersurfaces, whose structure vector field ξ belongs to the previous distribution are provided. Finally, the notion of (κ,μ,ν)-nullity distribution is introduced in case of real hypersurfaces in non-flat complex space forms and real hypersurfaces, whose structure vector field ξ belongs to the previous distribution are studied.