Savci, Ümit Ziya; Görgülü, Ali; Ekici, Cumali On Meusnier theorem for parallel surfaces. (English) Zbl 1392.53010 Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 66, No. 1, 187-198 (2017). Summary: In this paper, the geodesic curvature, the normal curvature, the geodesic torsion and the curvature of the image curve on a parallel surface of a given curve on a surface are obtained. Moreover, Meusnier theorem for parallel surfaces are discussed. Cited in 1 Document MSC: 53A05 Surfaces in Euclidean and related spaces Keywords:parallel surface; geodesic curvature; normal curvature; geodesic torsion; Meusnier theorem PDFBibTeX XMLCite \textit{Ü. Z. Savci} et al., Commun. Fac. Sci. Univ. Ank., Sér. A1, Math. Stat. 66, No. 1, 187--198 (2017; Zbl 1392.53010) Full Text: DOI