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Concircular hypersurfaces and concircular helices in space forms
Published 25 Jan 2026 in math.DG | (2601.18003v1)
Abstract: In this paper, we find a full description of concircular hypersurfaces in space forms as a special family of ruled hypersurfaces. We also characterize concircular helices in 3-dimensional space forms by means of a differential equation involving the concircular factor and their curvature and torsion, and we show that the concircular helices are precisely the geodesics of the concircular surfaces.
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