Some curve pairs according to types of Bishop frame

Some curve pairs according to types of Bishop frame

In the present paper, we investigate the associated curves of the normal indicatrix of a regular curve in Euclidean 3-space. We obtain the versions of the Bishop frame rotating around the Frenet elements of the normal indicatrix. As a result, we show that these associated curves are the elements of...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:AIMS Mathematics 2021-01, Vol.6 (5), p.4463-4473
1. Verfasser: YILMAZ, Beyhan
Format: Artikel
Sprache:eng
Schlagworte:
bertrand curve
euclidean space
evolute curve
mannheim curve
normal indicatrix
versions of bishop frame
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung:In the present paper, we investigate the associated curves of the normal indicatrix of a regular curve in Euclidean 3-space. We obtain the versions of the Bishop frame rotating around the Frenet elements of the normal indicatrix. As a result, we show that these associated curves are the elements of the versions of Bishop frame in Euclidean 3-space. Keywords: evolute curve; Mannheim curve; Bertrand curve; normal indicatrix; versions of Bishop frame; Euclidean space Mathematics Subject Classification: 53A04, 53A05, 53A40
ISSN:2473-6988
2473-6988
DOI:10.3934/math.2021264