On Ruled Surfaces with Pseudo Null Base Curve in Minkowski 3-Space

Emilija NEŠOVİĆ, Ufuk ÖZTÜRK, Esra B. KOÇ ÖZTÜRK, Kazım İLARSLAN
2016 International Electronic Journal of Geometry  
In this paper, we classify the ruled surfaces with a pseudo null base curve in Minkowski 3-space as spacelike, timelike and lightlike surfaces and obtain the corresponding striction curve and distribution parameter. In particular, we give some examples of lightlike developable surfaces with pseudo null base curve. As an application, we show that pseudo null curve and it's frame vectors generate new solutions of the Da Rios vortex filament equation.
doi:10.36890/iejg.584573 fatcat:a5jwmb7hi5eqjno7mw4dln5v2e