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New results concerning Cartan null and pseudo null curves in Minkowski 3-space
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New results concerning Cartan null and pseudo null curves in Minkowski 3-space
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Journal Article
New results concerning Cartan null and pseudo null curves in Minkowski 3-space
2023
Overview
In this study, we focus on Cartan null and pseudo null curves in Minkowski 3-space
E
1
3
. Firstly we define Cartan null and pseudo null equivalent curves and give the related examples. Then we give a construction method for Cartan null curves and it is shown that every Cartan null curve can be obtained from a timelike curve lying in the Lorentz plane in
E
1
3
. Also a construction method is given for pseudo null curves and we show that all pseudo null curves lie in a lightlike plane in
E
1
3
. Finally we define a new surface in
E
1
3
called “surface of pseudo null curves” and we obtain the geometric properties of such surfaces.
Publisher
Springer International Publishing,Springer Nature B.V
Subject
