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Pseudo‐spherical normal Darboux images of curves on a lightlike surface
Author(s) -
Wang Yongqiao,
Pei Donghe,
Cui Xiupeng
Publication year - 2017
Publication title -
mathematical methods in the applied sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.719
H-Index - 65
eISSN - 1099-1476
pISSN - 0170-4214
DOI - 10.1002/mma.4519
Subject(s) - mathematics , minkowski space , darboux integral , singularity , surface (topology) , mathematical analysis , pure mathematics , space (punctuation) , frame (networking) , ruled surface , normal surface , algebra over a field , geometry , computer science , curvature , telecommunications , operating system
We introduce the notions of the pseudospherical normal Darboux images for the curve on a lightlike surface in Minkowski 3‐space and study these Darboux images by using technics of the singularity theory. Furthermore, we give a relation between these Darboux images and Darboux frame from the viewpoint of Legendrian dualities.