Rectifying-type curves and rotation minimizing frame $R_{n}$
Ozgur Keskin, Yusuf Yayl{\i}
TL;DR
This paper characterizes special curves using the Rotation Minimizing Frame and generalizes rectifying-type curves to n-dimensional space, expanding the understanding of curve geometry.
Contribution
It introduces a new characterization of special curves via RMF and extends rectifying-type curves to n-dimensional space.
Findings
Characterization of special curves with RMF
Generalization of rectifying-type curves to Rn
Enhanced understanding of curve geometry in higher dimensions
Abstract
In this paper, we have first given easily the characterization of special curves with the help of the Rotation minimizing frame (RMF). Also, rectifying-type curves are generalized n-dimensional space .
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Advanced Differential Geometry Research · Geometric Analysis and Curvature Flows