Lorentzian Darboux images of curves on spacelike surfaces in Lorentz-Minkowski 3-space
classification
🧮 math.DG
keywords
curvedarbouxframelorentzianalonglorentz-minkowskispacespacelike
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For a regular curve on a spacelike surface in Lorentz-Minkowski $3$-space, we have a moving frame along the curve which is called a Lorentzian Darboux frame. We introduce five special vector fields along the curve associated to the Lorentzian Darboux frame and investigate their singularities.
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