Evolutes of null torus fronts
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Authors
Xiupeng Cui
- School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P. R. China.
Donghe Pei
- School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P. R. China.
Haiou Yu
- School of Mathematics and Statistics, Northeast Normal University, Changchun, 130024, P. R. China.
- Department of Mathematical Education, College of Humanities and Sciences, Northeast Normal University, Changchun 130117, P. R. China.
Abstract
The main goal of this paper is to characterize evolutes at singular points of curves in hyperbolic plane by
analysing evolutes of null torus fronts. We have done some work associated with curves with singular points
in Euclidean 2-sphere [H. Yu, D. Pei, X. Cui, J. Nonlinear Sci. Appl., 8 (2015), 678-686]. As a series of
this work, we further discuss the relevance between singular points and geodesic vertices of curves and give
different characterizations of evolutes in the three pseudo-spheres.
Share and Cite
ISRP Style
Xiupeng Cui, Donghe Pei, Haiou Yu, Evolutes of null torus fronts, Journal of Nonlinear Sciences and Applications, 8 (2015), no. 5, 866--876
AMA Style
Cui Xiupeng, Pei Donghe, Yu Haiou, Evolutes of null torus fronts. J. Nonlinear Sci. Appl. (2015); 8(5):866--876
Chicago/Turabian Style
Cui, Xiupeng, Pei, Donghe, Yu, Haiou. "Evolutes of null torus fronts." Journal of Nonlinear Sciences and Applications, 8, no. 5 (2015): 866--876
Keywords
- Evolute
- null torus front
- null torus framed curve
- hyperbolic plane.
MSC
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