Pseudo‐spherical normal Darboux images of curves on a lightlike surface

Pseudo‐spherical normal Darboux images of curves on a lightlike surface

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 viewpoin...

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Veröffentlicht in:Mathematical methods in the applied sciences 2017-12, Vol.40 (18), p.7151-7161
Hauptverfasser: Wang, Yongqiao, Pei, Donghe, Cui, Xiupeng
Format: Artikel
Sprache:eng
Schlagworte:
Legendrian dualities
lightlike surface
model curve
pseudo‐spherical normal Darboux image
singularities
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Zusammenfassung: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.
ISSN:0170-4214
1099-1476
DOI:10.1002/mma.4519