Kaixin Yao
Current Organizations / Institutes
The organizations/institutes from the scholar's latest article
Kaixin Yao has a total of 6 co-authors. Here are the top co-authors by number of shared publications:
- Donghe Pei
School of Mathematics and Statistics, Northeast Normal University, Changchun, Jilin 130024, P. R. China
5 shared publications - Anjie Zhou
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
2 shared publications - Meixuan Li
School of Mathematics and Statistics, Northeast Normal University, Changchun, People’s Republic of China
2 shared publications - Enze Li
School of Mathematics and Statistics, Northeast Normal University, Changchun, People’s Republic of China
1 shared publication - Linlin Wu
School of Mathematics and Statistics, Northeast Normal University, Changchun 130024, China
1 shared publication - Pengcheng Li
Department of Mathematics, Harbin Institute of Technology, Weihai 264209, China
1 shared publication
Latest Publications
- Open Access
- 1 January 2025
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 23 (1)
Pedal and negative pedal surfaces of framed curves in the Euclidean 3-space
We define pedal and negative pedal surfaces of framed curves in the Euclidean 3-space and find that the loci of singularities of them are pedal and negative pedal curves, respectively. Moreover, we give sufficient conditions that pedal and negative pedal surfaces to be framed base surfaces. We also give a sufficient condition that negative pedal curves to be framed base curves.
- 1 January 2025
- Published by Walter de Gruyter GmbH in Open Mathematics
- Vol. 23 (1)
Open AccessPedal and negative pedal surfaces of framed curves in the Euclidean 3-space
We define pedal and negative pedal surfaces of framed curves in the Euclidean 3-space and find that the loci of singularities of them are pedal and negative pedal curves, respectively. Moreover, we give sufficient conditions that pedal and negative pedal surfaces to be framed base surfaces. We also give a sufficient condition that negative pedal curves to be framed base curves.
- Open Access
- 22 August 2024
- Published by MDPI AG in Mathematics
- Vol. 12 (16) , 2593
Generalized Bertrand Curves of Non-Light-like Framed Curves in Lorentz–Minkowski 3-Space
In this paper, we define the generalized Bertrand curves of non-light-like framed curves in Lorentz–Minkowski 3-space; their study is essential for understanding many classical and modern physics problems. Here, we consider two non-light-like framed curves as generalized Bertrand pairs. Our generalized Bertrand pairs can include Bertrand pairs with either singularities or not, and also include Mannheim pairs with singularities. In addition, we discuss their properties and prove the necessary and sufficient conditions for two non-light-like framed curves to be generalized Bertrand pairs.
- 22 August 2024
- Published by MDPI AG in Mathematics
- Vol. 12 (16) , 2593
Open AccessGeneralized Bertrand Curves of Non-Light-like Framed Curves in Lorentz–Minkowski 3-Space
In this paper, we define the generalized Bertrand curves of non-light-like framed curves in Lorentz–Minkowski 3-space; their study is essential for understanding many classical and modern physics problems. Here, we consider two non-light-like framed curves as generalized Bertrand pairs. Our generalized Bertrand pairs can include Bertrand pairs with either singularities or not, and also include Mannheim pairs with singularities. In addition, we discuss their properties and prove the necessary and sufficient conditions for two non-light-like framed curves to be generalized Bertrand pairs.
- Open Access
- 1 January 2024
- Published by National Library of Serbia in Filomat
- Vol. 38 (11) , 3839-3850
k-type hyperbolic framed slant helices in hyperbolic 3-space
In this paper, we give the existence and uniqueness theorems for hyperbolic framed curves and define the k-type hyperbolic framed slant helices in three-dimensional hyperbolic space. Using the hyperbolic curvature, we investigate the k-type hyperbolic framed slant helices and the connection between them. Hyperbolic framed slant helices might have singular points, they are a generalization of hyperbolic slant helices. Moreover, as their applications, we give some examples of k-type hyperbolic framed slant helices.
- 1 January 2024
- Published by National Library of Serbia in Filomat
- Vol. 38 (11) , 3839-3850
Open Accessk-type hyperbolic framed slant helices in hyperbolic 3-space
In this paper, we give the existence and uniqueness theorems for hyperbolic framed curves and define the k-type hyperbolic framed slant helices in three-dimensional hyperbolic space. Using the hyperbolic curvature, we investigate the k-type hyperbolic framed slant helices and the connection between them. Hyperbolic framed slant helices might have singular points, they are a generalization of hyperbolic slant helices. Moreover, as their applications, we give some examples of k-type hyperbolic framed slant helices.
- 6 May 2023
- Published by Springer Nature in Mediterranean Journal of Mathematics
- Vol. 20 (4) , 1-13
Pedal and Contrapedal Curves of Framed Immersions in the Euclidean 3-Space
- 6 May 2023
- Published by Springer Nature in Mediterranean Journal of Mathematics
- Vol. 20 (4) , 1-13
Pedal and Contrapedal Curves of Framed Immersions in the Euclidean 3-Space
- Open Access
Pedal Curves of Non-Lightlike Curves in Minkowski 3-Space
We study the notions of pedal curves, contrapedal curves and -Gauss maps of non-lightlike regular curves in Minkowski 3-space. Then we establish the relationships among the evolutes, the pedal and contrapedal curves. Moreover, we also investigate the singularities of these objects. Finally, we show some examples to comprehend the characteristics of the pedal and contrapedal curves in Minkowski 3-space.Open AccessPedal Curves of Non-Lightlike Curves in Minkowski 3-Space
We study the notions of pedal curves, contrapedal curves and -Gauss maps of non-lightlike regular curves in Minkowski 3-space. Then we establish the relationships among the evolutes, the pedal and contrapedal curves. Moreover, we also investigate the singularities of these objects. Finally, we show some examples to comprehend the characteristics of the pedal and contrapedal curves in Minkowski 3-space.