Quaternionic Bertrand curves according to type 2-quaternionic frame in R 4
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Date
2022
Authors
Journal Title
Journal ISSN
Volume Title
Publisher
Ankara Üniversitesi
Abstract
In this paper, we give some characterization of quaternionic Bertrand curves whose the torsion is non-zero but bitorsion is zero in
R
4
according to Type 2-Quaternionic Frame. One of the most important points in working on quaternionic curves is that given a curve in
R
4
, the curve in
R
3
associated with this curve is determined individually. So, we obtain some relationships between quaternionic Bertrand curve
α
(
4
)
in
R
4
and its associated spatial quaternionic curve
α
in
R
3
. Also, we support some theorems in the paper by means of an example.
Description
Keywords
In this paper, we give some characterization of quaternionic Bertrand curves whose the torsion is non-zero but bitorsion is zero in R 4 according to Type 2-Quaternionic Frame. One of the most important points in working on quaternionic curves is that given a curve in R 4 , the curve in R 3 associated with this curve is determined individually. So, we obtain some relationships between quaternionic Bertrand curve α ( 4 ) in R 4 and its associated spatial quaternionic curve α in R 3 . Also, we support some theorems in the paper by means of an example.