DEVELOPABILITY OF RULED SURFACES GENERATED BY CURVES AT A CONSTANT DISTANCE FROM THE NON-NULL CURVE

This study aims to characterize curves at constant distance by using the tangent, normal, and binormal vectors of a unit speed non-null curve in Minkowski 3-space. The Frenet vectors and the curvature and torsion functions of these curves are calculated by using the curvature and torsion of the unit speed non-null curve. Then, the developability of ruled surfaces created with these curves and their tangents is investigated. Finally, the examples containing these curves and surfaces are given, and their graphs are drawn.

Authors

Institutions

Publication Details

Journal
Journal of Science and Arts
Published
2025-09-30
DOI
https://doi.org/10.46939/j.sci.arts-25.3-a06
Primary Topic
Geometric Analysis and Curvature Flows
Type
article
Field-Weighted Citation Impact
0.00
Controls
|||
ALL TIME
JAN
FEB
MAR
APR
MAY
JUN
JUL
AUG
SEP
OCT
article

DEVELOPABILITY OF RULED SURFACES GENERATED BY CURVES AT A CONSTANT DISTANCE FROM THE NON-NULL CURVE

Marco Carli, Kemal Eren, Soley Ersoy
Journal of Science and Arts
Geometric Analysis and Curvature Flows
article

DEVELOPABILITY OF RULED SURFACES GENERATED BY CURVES AT A CONSTANT DISTANCE FROM THE NON-NULL CURVE

Marco Carli, Kemal Eren, Soley Ersoy
article en

Abstract

This study aims to characterize curves at constant distance by using the tangent, normal, and binormal vectors of a unit speed non-null curve in Minkowski 3-space. The Frenet vectors and the curvature and torsion functions of these curves are calculated by using the curvature and torsion of the unit speed non-null curve. Then, the developability of ruled surfaces created with these curves and their tangents is investigated. Finally, the examples containing these curves and surfaces are given, and their graphs are drawn.

Journal of Science and ArtsVol. 25(3)
Sakarya University (TR)
Openalex Percentile: Top 55%
Geometric Analysis and Curvature Flows
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.