Publication:
Concircular hypersurfaces and concircular helices inspace forms

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s00009-023-02524-w_paper.pdf(308.61 KB)
Date
2023-08-23
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Authors
Lucas Saorín, Pascual ; Ortega Yagües, José Antonio
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Publisher
Springer
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Matemáticas
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info:eu-repo/semantics/article
Description
Abstract
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.
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Slant helix , Concircular helix , Generalized cylinder , Helix surface , Conical surface , Concircular surface , Generalized helix , Rectifying curve
Citation
Mediterranean Journal of Mathematics, 2023, Vol. 20 : 320
URI
http://hdl.handle.net/10201/164809
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