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, SEHER and LOPEZ, RAFAEL
(2018)
"Solutions of the Björling problem for timelike surfaces in the Lorentz-Minkowski space,"
Turkish Journal of Mathematics: Vol. 42:
No.
5, Article 9.
https://doi.org/10.3906/mat-1801-93
Available at:
https://journals.tubitak.gov.tr/math/vol42/iss5/9
