Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1801-93
Keywords
Timelike minimal surface, Björling problem, circle, helix
First Page
2186
Last Page
2201
Recommended Citation
KAYA, S, & LOPEZ, R (2018). Solutions of the Björling problem for timelike surfaces in the Lorentz-Minkowski space. Turkish Journal of Mathematics 42 (5): 2186-2201. https://doi.org/10.3906/mat-1801-93
