A generalization of Lancret’s theorem |
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Authors: | Ü nver Ç iftç i |
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Affiliation: | Namk Kemal Üniversitesi, Fen-Edebiyat Fakültesi, Matematik Bölümü, Namk Kemal Cad. No: 14, 59100 - Tekirda?, Türkiye |
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Abstract: | General helices in a three dimensional Lie group with a bi-invariant metric are defined and a generalization of Lancret’s theorem is obtained. We conclude that the so-called spherical images of general helices are plane curves, and we obtain the so-called spherical general helices. We also give a relation between the geodesics of the so-called cylinders and general helices. |
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Keywords: | primary, 53A04, 53C40 secondary, 22E15 |
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