Bilici, M.; Çalışkan, M.; Aydemir, İ. The natural lift curves and the geodesic sprays for the spherical indicatrices of the pair of evolute-involute curves. (English) Zbl 1038.53003 Int. J. Appl. Math. 11, No. 4, 415-420 (2002). The authors consider a pair of evolute-involute curves \((a,a^*)\) in \(E^3\) and the natural lift curves of the spherical indicatrices of the involute curve \(a^*\). Then, by assuming that the above natural lift curves are integral curves of the geodesic spray on the tangent bundle of a unit sphere, they obtain some results about the volute curve \(a\). Reviewer: Despina Papadopoulou-Florou (Thessaloniki) MSC: 53A04 Curves in Euclidean and related spaces Keywords:evolute-involute curves; natural lift curves; spherical indicatrices; geodesic spray PDFBibTeX XMLCite \textit{M. Bilici} et al., Int. J. Appl. Math. 11, No. 4, 415--420 (2002; Zbl 1038.53003)