AW(k)-Type Curves According to Parallel Transport Frame in Euclidean Space E^4
\.Il\.im K\.i\c{s}\.i, G\"unay \"Ozt\"urk, Sezg\.in B\"uy\"ukk\"ut\"uk
TL;DR
This paper investigates AW(k)-type curves in four-dimensional Euclidean space using the parallel transport frame, establishing relationships between their curvatures to deepen understanding of their geometric properties.
Contribution
It introduces the study of AW(k)-type curves with respect to the parallel transport frame in E^4 and derives relations between their curvatures, a novel approach in this context.
Findings
Derived relations between parallel transport curvatures of AW(k)-type curves.
Extended the understanding of geometric properties of curves in E^4.
Provided a framework for analyzing curves using the parallel transport frame.
Abstract
In this study we consider AW(k)-type curves according to parallel transport frame in Euclidean space E^4. We give the relations between the parallel transport curvatures of these kinds of curves.
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Taxonomy
TopicsGeometric Analysis and Curvature Flows · Advanced Differential Geometry Research