Solutions of the Björling problem for timelike surfaces in the Lorentz-Minkowski space

Authors : Seher KAYA, Rafael LOPEZ

Pages : 2186-2201

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Publication Date : 0000-00-00

Article Type : Research Paper

Abstract :We give a number of new examples of timelike minimal surfaces in the Lorentz-Minkowski space. Our method consists of solving the Björling problem by prescribing a circle or a helix as the core curve $\alpha$ and rotating with constant angular speed the unit normal vector field in the normal plane to $\alpha$. As particular cases, we exhibit new examples of timelike minimal surfaces invariant by a uniparametric group of helicoidal motions.
Keywords : Timelike minimal surface, Björling problem, circle, helix