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3 results on '"lightlike rectifying curve"'

1. On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes

Author

Jianguo Sun, Yanping Zhao, and Xiaoyan Jiang

Subjects
Frenet equations, lightlike rectifying curve, centrode, lightlike slant helix, projection, Mathematics, QA1-939
Abstract

This paper mainly focuses on some notions of the lightlike rectifying curves and the centrodes in Minkowski 3-space. Some geometrical characteristics of the three types of lightlike curves are obtained. In addition, we obtain the conditions of the centrodes of the lightlike curves are the lightlike rectifying curves. Meanwhile, a detailed analysis between the N-type lightlike slant helices and the centrodes of lightlike curves is provided in this paper. We give the projections of the lightlike rectifying curves to the timelike planes.

Published
2021
Full Text
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2. On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes

Author

Xiaoyan Jiang, Yanping Zhao, and Jianguo Sun

Subjects
Physics, Centrode, General Mathematics, Frenet equations, lightlike rectifying curve, centrode, lightlike slant helix, projection, Geometry, Projection (mathematics), Minkowski space, Computer Science (miscellaneous), QA1-939, Engineering (miscellaneous), Mathematics
Abstract

This paper mainly focuses on some notions of the lightlike rectifying curves and the centrodes in Minkowski 3-space. Some geometrical characteristics of the three types of lightlike curves are obtained. In addition, we obtain the conditions of the centrodes of the lightlike curves are the lightlike rectifying curves. Meanwhile, a detailed analysis between the N-type lightlike slant helices and the centrodes of lightlike curves is provided in this paper. We give the projections of the lightlike rectifying curves to the timelike planes.

Published
2021

3. On the Geometrical Properties of the Lightlike Rectifying Curves and the Centrodes.

Author

Sun, Jianguo, Zhao, Yanping, and Jiang, Xiaoyan

Subjects
*PLANE curves, *HELICES (Algebraic topology), *CURVES
Abstract

This paper mainly focuses on some notions of the lightlike rectifying curves and the centrodes in Minkowski 3-space. Some geometrical characteristics of the three types of lightlike curves are obtained. In addition, we obtain the conditions of the centrodes of the lightlike curves are the lightlike rectifying curves. Meanwhile, a detailed analysis between the N-type lightlike slant helices and the centrodes of lightlike curves is provided in this paper. We give the projections of the lightlike rectifying curves to the timelike planes. [ABSTRACT FROM AUTHOR]

Published
2021
Full Text
View/download PDF

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