On meusnier theorem for parallel surfaces
Author(s) -
Ümit Ziya Savcı
Publication year - 2017
Publication title -
communications faculty of science university of ankara series a1mathematics and statistics
Language(s) - English
Resource type - Journals
ISSN - 1303-5991
DOI - 10.1501/commua1_0000000788
Subject(s) - curvature , torsion (gastropod) , geodesic , torsion of a curve , total curvature , mathematics , sectional curvature , center of curvature , geometry , mathematical analysis , mean curvature , scalar curvature , anatomy , medicine
In this paper, the geodesic curvature, the normal curvature, thegeodesic torsion and the curvature of the image curve on a parallel surfaceof a given curve on a surface are obtained. Moreover, Meusnier theorem forparallel surfaces are discussed
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