Generalized Cylinder with Geodesic and Line of Curvature Parameterizations

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Fundamental Journal of Mathematics and Applications
Volume:5 Issue:2
Generalized Cylinder with Geodesic and Line of Curvature Parameterizations

Generalized Cylinder with Geodesic and Line of Curvature Parameterizations

Pages : 106-113

View : 23 | Download : 12

Publication Date : 2022-06-01

Article Type : Research Paper

Abstract :Constructing a surface with geodesic or line of curvature parameterization is an important problem in many practical applications. The present paper aims to design a generalized cylinder that is parametrized along the geodesics and lines of curvature curves in Euclidean 3- space. The main results show that the generalized cylinder with geodesic or line of curvature parameterization is a rectifying cylinder or a right cylinder respectively.
Keywords : Generalized cylinder, Geodesic, Line of curvature, Parameterization

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