We introduce two types of mappings that preserve nonnull helices in Minkowski spaces. The first type constructs helices in the n-dimensional Minkowski space from helices in the same Minkowski space. The second type constructs helices in the (n + 1)-dimensional Minkowski space from helices in the n-dimensional Minkowski space. Furthermore, we study invariants of these mappings and present examples. © 2020 World Scientific Publishing Company
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In differential geometry, relations between curves are a large and important area of study for many ...
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In this paper, we study on three kinds of spacelike helicoidal surfaces in Minkowski 4–space. First...
In this paper, we continue the study of the Killing symmetries of an N-dimensional generalized Minko...
A classical theorem of differential geometry of curves in Euclidean space is the Schur's Theorem, th...
In this study, we introduce mappings that transform helices in Euclidean n -space to non-null helice...
WOS: 000485104100061In this work, we find position vectors of non-null helices in the n-dimensional ...
In this study, we define two types of mappings that preserve the constant angle between the tangent ...
In this study, we give definition of null quaternionic slant helices by definition of slant helices ...
In this paper, we investigate the similarity transformations in the Minkowski n-space. We study the ...
WOS: 000484176600009In the present paper, we consider general helix with spacelike slope axis for al...
In three dimensional Minkowski space, we show that a generalized helicoid with null axis is isometri...
In this study, we show that a Generalized helicoid with null axis is isometric to a rotation surface...
Abstract. In this paper, we introduce the notion of a k-type null slant helices in Minkowski space-t...
summary:We consider a unit speed timelike curve $\alpha $ in Minkowski 4-space ${\mathbf{E}}_1^4$ an...
In differential geometry, relations between curves are a large and important area of study for many ...
Abstract. Paper brings few ideas about a concept of Minkowski combinations of point sets, which can ...
In this paper, we study on three kinds of spacelike helicoidal surfaces in Minkowski 4–space. First...
In this paper, we continue the study of the Killing symmetries of an N-dimensional generalized Minko...
A classical theorem of differential geometry of curves in Euclidean space is the Schur's Theorem, th...
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