Some characterizations for the involute curves in dual space
Suleyman Senyurt, Mustafa Bilici, Mustafa Caliskan
TL;DR
This paper explores the properties of involute and evolute curves in dual space, establishing relationships with dual Frenet frames and Darboux vectors to deepen geometric understanding.
Contribution
It introduces new characterizations of involute-evolute curves in dual space and links them with dual Frenet frames and Darboux vectors.
Findings
Characterizations of involute-evolute curves in dual space
Relationships between dual Frenet frames and Darboux vectors
Enhanced geometric understanding of dual space curves
Abstract
In this paper, we investigate some characterizations of involute -- evolute curves in dual space. Then the relationships between dual frenet frame and darboux vectors of these curves are found.
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Taxonomy
TopicsAdvanced Numerical Analysis Techniques · Geometric Analysis and Curvature Flows