ON GENERALIZED FRAMED AND FRENET-TYPE FRAMED BERTRAND CURVES IN EUCLIDEAN 3-SPACE

In this paper, we consider Framed and Frenet-type Framed Bertrand curves. We generalized the notion of Framed and Frenet-type Framed Bertrand curves in Euclidean 3-space. According to this generalization, the Bertrand curve conditions of a given Framed and Frenet-type Framed Bertrand curves are obtained and the relations between the moving frames and curvature functions are given.

Authors

Publication Details

Journal
Facta Universitatis Series Mathematics and Informatics
Published
2025-04-16
DOI
https://doi.org/10.22190/fumi240301014a
Primary Topic
Advanced Numerical Analysis Techniques
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

ON GENERALIZED FRAMED AND FRENET-TYPE FRAMED BERTRAND CURVES IN EUCLIDEAN 3-SPACE

Hatice Altın Erdem, Bilge Guldu, Kazım Erdem
Facta Universitatis Series Mathematics and Informatics
Advanced Numerical Analysis Techniques
article

ON GENERALIZED FRAMED AND FRENET-TYPE FRAMED BERTRAND CURVES IN EUCLIDEAN 3-SPACE

Hatice Altın Erdem, Bilge Guldu, Kazım Erdem
article en

Abstract

In this paper, we consider Framed and Frenet-type Framed Bertrand curves. We generalized the notion of Framed and Frenet-type Framed Bertrand curves in Euclidean 3-space. According to this generalization, the Bertrand curve conditions of a given Framed and Frenet-type Framed Bertrand curves are obtained and the relations between the moving frames and curvature functions are given.

Facta Universitatis Series Mathematics and Informatics
Openalex Percentile: Top 82%
Advanced Numerical Analysis Techniques
AI Navigator

Ask Laika to Summarize, Analyze, and Connect papers live on the map.

Summarize Papers & Methodologies

Extract key findings, datasets, and comparative methods across publications.

Benchmark Rankings & Visual Analytics

Rank top research institutions, authors, funders, topics, and journals by Field-Weighted Citation Impact (FWCI) and paper volume with instant charts.

Connect Distant Disciplines

Bridge topological clusters on the map to find hidden collaborative intersections.

ON GENERALIZED FRAMED AND FRENET-TYPE FRAMED BERTRAND CURVES IN EUCLIDEAN 3-SPACE — Hatice Altın Erdem, Bilge Guldu, et al. · Facta Universitatis Series Mathematics and Informatics (2025) | TGRS Research Map | TGRS