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arXiv · 2601.18003

Concircular hypersurfaces and concircular helices in space forms

Pascual Lucas·José Antonio Ortega-Yagües
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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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Pascual Lucas, José Antonio Ortega-Yagües. 2026-01-25. Concircular hypersurfaces and concircular helices in space forms. https://doi.org/10.1007/s00009-023-02524-w

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