Mannheim offsets of ruled surfaces under the 1-parameter motions-Reference-Cited by-同舟云学术

Mannheim offsets of ruled surfaces under the 1-parameter motions

Published:2022-02-04 Issue: Volume:40 Page:1-9
ISSN:2175-1188
Container-title:Boletim da Sociedade Paranaense de Matemática
language:en
Short-container-title:bspm

Author:

Orbay Keziban¹,Sahin Tevfik¹^ORCID

Affiliation:

1. Amasya University

Abstract

In this study, the situation of Mannheim offsets of ruled surfaces under the 1-parameter motions is investigated. Firstly, relationships between geodesic Frenet trihedrons of Mannheim offsets of ruled surfaces are obtained and the relationship between the curvatures of the surface pairs is examined. Also, change of integral invariants the surface pairs under the 1-parameter motions is studied. Finally, the relevant example is given for every Mannheim offsets of ruled surfaces.

Publisher

Sociedade Paranaense de Matematica

Subject

General Mathematics

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