Characterizations of Spatial Quaternionic Partner-Ruled Surfaces-Reference-Cited by-同舟云学术

Characterizations of Spatial Quaternionic Partner-Ruled Surfaces

Published:2024-09-09 Issue:9 Volume:13 Page:612
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Ersoy Soley¹^ORCID,Eren Kemal²^ORCID,Çalışkan Abdussamet³^ORCID

Affiliation:

1. Department of Mathematics, Faculty of Sciences, Sakarya University, 54050 Sakarya, Turkey

2. Sakarya University Technology Developing Zones Manager Company, 54050 Sakarya, Turkey

3. Fatsa Vocational School, Department of Accounting and Tax Applications, Ordu University, 52100 Ordu, Turkey

Abstract

In this paper, we investigate the spatial quaternionic expressions of partner-ruled surfaces. Moreover, we formulate the striction curves and dralls of these surfaces by use of the quaternionic product. Furthermore, the pitches and angles of pitches are interpreted for the spatial quaternionic ruled surfaces that are closed. Additionally, we calculate the integral invariants of these surfaces using quaternionic formulas. Finally, the partner-ruled surfaces of a given spatial quaternionic ruled surface are demonstrated as an example, and their graphics are drawn.

Funder

Sakarya University

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/9/612/pdf

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