Work

AW(k)-Type Curves in Modified Orthogonal Frame

Year: 2024

Type: article

Abstract: The goal of this article is to examine AW(k)-type curves in Euclidean 3- space according to a modified orthogonal frame with the non-zero curvature. Firstly, the relations between the curvatures for AW(k)-type curves in modified orthogonal frame are given. Also, harmonic curvatures of AW(k)-type curves according to this frame are obtained. The results are illustrated on examples. Finally, slant helices are analysed for the modified orthogonal frame and some relations are obtained for the curvatures of the curve to be of AW(1) and AW(2) type in case the curve be a slant helix.

Source: Türk doğa ve fen dergisi :/Türk doğa ve fen dergisi

DOI: 10.46810/tdfd.1468641

Authors: Esra Damar, Burçin Saltık Baek, Nurdan Oğraş, Nural Yüksel

Institutions: Hitit Üniversitesi, Erciyes University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W4405874399

FWCI: 0.573

Cites: 18

Cited by: 3

Related to: 10