Evolutes of null torus fronts


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.


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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


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