Browsing by Subject "Generalized cylinder"

Now showing 1 - 1 of 1
  • Thumbnail Image
    Publication
    Open Access
    Concircular hypersurfaces and concircular helices inspace forms
    (Springer, 2023-08-23) Lucas Saorín, Pascual; Ortega Yagües, José Antonio; Matemáticas
    In this paper, we find a full description of concircular hypersurfaces in spaceforms as a special family of ruled hypersurfaces. We also characterize concircularhelices in 3-dimensional space forms by means of a differential equation involving theconcircular factor and their curvature and torsion, and we show that the concircularhelices are precisely the geodesics of the concircular surfaces.